國立中央大學教師履歷平台

教師個人簡歷

回上一頁

陳建隆

Chern, Jann-Long

chern@math.ncu.edu.tw

國科會計畫統計

奇異點集對具臨界非限性指數橢圓偏微分方程及拋物型偏微分方程其解基本性質的影響之探討
1090801~1100731
[奇異點集,拋物偏微分方程,橢圓偏微分方程,臨界非限性指數 , Singular Points Set, Parabolic Evolutions Equations,Eliptic Equations, Sobolev Exponent]
奇異點集對具臨界非限性指數橢圓偏微分方程及拋物型偏微分方程其解基本性質的影響之探討
1080801~1090731
[奇異點集,拋物偏微分方程,橢圓偏微分方程,臨界非限性指數 , Singular Points Set, Parabolic Evolutions Equations,Eliptic Equations, Sobolev Exponent]
奇異點集對具臨界非限性指數橢圓偏微分方程及拋物型偏微分方程其解基本性質的影響之探討
1070801~1080731
[奇異點集,拋物偏微分方程,橢圓偏微分方程,臨界非限性指數 , Singular Points Set, Parabolic Evolutions Equations,Eliptic Equations, Sobolev Exponent]
關於「麥克斯威爾-陳-賽門」偏微分方程主題之研究及規範場中之「阿貝爾-黑格斯」偏微方程主題之研究
1060801~1070731
[Maxwell-Chern-Simons-Higgs Model, The product Abelian Higgs model in a gauge field theory, Cosmic Strings in a Product Abelian Gauge Field Theory , :Maxwell-Chern-Simons-Higgs Model, The product Abelian Higgs model in a gauge field theory, Cosmic Strings in a Product Abelian Gauge Field Theory In this three years project, we will study the following topics,]
關於「麥克斯威爾-陳-賽門」偏微分方程主題之研究及規範場中之「阿貝爾-黑格斯」偏微方程主題之研究
1050801~1060731
[Maxwell-Chern-Simons-Higgs Model, The product Abelian Higgs model in a gauge field theory, Cosmic Strings in a Product Abelian Gauge Field Theory , :Maxwell-Chern-Simons-Higgs Model, The product Abelian Higgs model in a gauge field theory, Cosmic Strings in a Product Abelian Gauge Field Theory In this three years project, we will study the following topics,]
關於「麥克斯威爾-陳-賽門」偏微分方程主題之研究及規範場中之「阿貝爾-黑格斯」偏微方程主題之研究
1040801~1050731
[Maxwell-Chern-Simons-Higgs Model, The product Abelian Higgs model in a gauge field theory, Cosmic Strings in a Product Abelian Gauge Field Theory , :Maxwell-Chern-Simons-Higgs Model, The product Abelian Higgs model in a gauge field theory, Cosmic Strings in a Product Abelian Gauge Field Theory In this three years project, we will study the following topics,]

期刊著作

Open-Vocabulary Semantic Segmentation for Dynamic 3D Scenes Using Scene Flow Estimation
IEEE Robotics and Automation Letters, 11, 7, 8140-8147, 2026-07-01
[ deep learning for visual perception,Semantic scene understanding ]
A FRACTIONAL-ORDER DYNAMICAL APPROACH TO VECTOR EQUILIBRIUM PROBLEMS WITH PARTIAL ORDER INDUCED BY A POLYHEDRAL CONE
Journal of Nonlinear and Variational Analysis, 9, 3, 435-459, 2025-01-01
[ Fractional-order dynamical system,Mittag-Leffler stability,Polyhedral cone,Vector equilibrium problem ]
THE NUMERICAL APPROXIMATION OF STATIONARY WAVE SOLUTIONS FOR TWO-COMPONENT SYSTEM OF NONLINEAR SCHRÖDINGER EQUATIONS BY USING GENERALIZATION PETVIASHVILI METHOD
Barekeng, 18, 3, 1739-1752, 2024-03-08
[ Equations,Nonlinear Schrödinger,Petviashvili Method,Stationary wave Solutions ]
Existence and non-existence of minimizers for Hardy-Sobolev type inequality with Hardy potentials
Applicable Analysis, 103, 10, 1831-1845, 2024-01-01
[ existence,Hardy potential,minimizers of Hardy-Sobolev type inequality,non-existence,Semilinear elliptic equation ]
FracGM: A Fast Fractional Programming Technique for Geman-McClure Robust Estimator
IEEE Robotics and Automation Letters, 9, 12, 11666-11673, 2024-01-01
[ Mapping,optimal control,optimization ]
Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions
Mathematical Research Letters, 29, 4, 945-960, 2022-01-01
On the evolution equation with a dynamic Hardy-type potential
Journal of Evolution Equations, 21, 2, 2141-2165, 2021-06-01
[ Existence,Hardy potential,Heat equation,Initial value problem,Singularity,Uniqueness ]
Classification of solutions for self-dual Chern-Simons CP (1) model
Journal of Mathematical Physics, 62, 3, 2021-03-01
Structure of minimizers of cafarelli-kohn-nirenberg inequality
Tohoku Mathematical Journal, 72, 4, 551-567, 2020-12-01
[ Cafarelli-kohn-nirenberg inequality,Pohozaev identity,Radial solution,Singular solu-tion,The best constant ]
Properties of solutions to semilinear elliptic problem with Hardy potential
Journal of Differential Equations, 269, 2, 1432-1464, 2020-07-05
[ Existence , Hardy potential , Neumann problem , Semilinear elliptic equation , Symmetric properties ]
On the family of non-topological solutions for the elliptic system arising from a product abelian gauge field theory
Discrete and Continuous Dynamical Systems, 40, 6, 3291-3304, 2020-01-01
[ Existence , Flux , Non-topological , Solution structure , System ]
Qualitative analysis of singular solutions for nonlinear elliptic equations with potentials
Mathematische Annalen, 2020-01-01
The analysis of solutions for Maxwell–Chern–Simons O(3) sigma model
Calculus of Variations and Partial Differential Equations, 58, 4, 2019-08-01
Uniqueness of positive solutions to some coupled cooperative variational elliptic systems
Transactions of the American Mathematical Society, 370, 7, 5209-5243, 2018-07-01
Asymptotic behavior of equilibrium states of reaction–diffusion systems with mass conservation
Journal of Differential Equations, 264, 2, 550-574, 2018-01-15
[ Asymptotic behavior , Concentration phenomena , Equilibrium solution , Mass conservation , Reaction–diffusion system , Stability ]
The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory
Journal of Mathematical Physics, 58, 7, 2017-07-01
Topological multivortex solutions for the Chern–Simons system with two Higgs particles
Communications in Partial Differential Equations, 41, 4, 705-731, 2016-04-02
[ Chern-Simons system , multivortex solution , Uniqueness ]
Uniqueness of topological multivortex solutions in the Maxwell-Chern-Simons model
Journal of Functional Analysis, 270, 6, 2073-2125, 2016-03-15
[ Classification of solutions , Flux for non-topological solutions , Maxwell-Chern-Simons model , Multivortex solutions ]
A classification of semilocal vortices in a Chern-Simons theory
Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 33, 2, 575-595, 2016-03-01
[ Chern-Simons-Higgs model , Classification of nontopological solutions for elliptic system , Uniqueness result of topological solutions ]
Uniqueness of topological vortex in a self-dual maxwell-chern-simons-higgs system
Indiana University Mathematics Journal, 64, 6, 1747-1766, 2015-01-01
[ Maxwell-Chern-Simons-Higgs system , Topological vortex solutions , Uniqueness ]
The non-topological fluxes of a two-particle system in the Chern-Simons theory
Journal of Differential Equations, 256, 10, 3417-3439, 2014-05-15
A survey of solutions in a gravitational Born-infeld theory
Journal of Mathematical Physics, 55, 3, 2014-03-12
Existence and uniqueness of singular solutions for elliptic equation on the hyperbolic space
Communications on Pure and Applied Analysis, 13, 2, 949-960, 2014-03-01
[ Hyperbolic space , Nonlinear elliptic equations , Singular solutions ]
Evaluating solutions on an elliptic problem in a gravitational gauge field theory
Journal of Functional Analysis, 265, 7, 1240-1263, 2013-10-01
[ A gravitational gauge field theory , Nonlinear elliptic equation , Uniqueness and classification of symmetric solutions ]
Structure of solutions to a singular Liouville system arising from modeling dissipative stationary plasmas
Discrete and Continuous Dynamical Systems, 33, 6, 2299-2318, 2013-06-01
[ Dissipative stationary plasma , Liouville system , Structure of solutions ]
On the uniqueness of singular solutions for a Hardy-Sobolev equation
Discrete and Continuous Dynamical Systems - Series S, SUPPL., 123-128, 2013-01-01
[ Hardy-Sobolev equation , Singular solution , Uniqueness of solutions ]
On the solutions to a Liouville-type system involving singularity
Calculus of Variations and Partial Differential Equations, 43, 1-2, 57-81, 2012-01-01
Uniqueness of finite total curvatures and the structure of radial solutions for nonlinear elliptic equations
Transactions of the American Mathematical Society, 363, 6, 3211-3231, 2011-06-01
Existence, uniqueness and stability of positive solutions to sublinear elliptic systems
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 141, 1, 45-64, 2011-02-01
On the uniqueness and structure of solutions to a coupled elliptic system
Journal of Differential Equations, 249, 12, 3419-3442, 2010-12-15
Erratum to "On the classification of standing wave solutions for the Schrödinger equation"
Communications in Partial Differential Equations, 35, 10, 1920-1921, 2010-09-14
Uniqueness of topological solutions and the structure of solutions for the Chern-Simons system with two higgs particles
Communications in Mathematical Physics, 296, 2, 323-351, 2010-03-10
On the classification of standing wave solutions for the Schrödinger equation
Communications in Partial Differential Equations, 35, 2, 275-301, 2010-02-01
[ Classification of solutions , Schrödinger equation , Standing wave solutions ]
Minimizers of Caffarelli-Kohn-Nirenberg Inequalities with the singularity on the boundary
Archive for Rational Mechanics and Analysis, 197, 2, 401-432, 2010-01-01
The structure of radial solutions for elliptic equations arising from the spherical onsager vortex
Tohoku Mathematical Journal, 61, 2, 287-307, 2009-06-01
[ Elliptic equation , Spherical Onsager vortex , Structure of solutions ]
Uniqueness and structure of solutions to the Dirichlet problem for an elliptic system
Journal of Differential Equations, 246, 9, 3704-3714, 2009-05-01
Structure of the sets of regular and singular radial solutions for a semilinear elliptic equation
Journal of Differential Equations, 224, 2, 440-463, 2006-05-15
[ Elliptic equation , Regular and singular solutions ]
The symmetry of least-energy solutions for semilinear elliptic equations
Journal of Differential Equations, 187, 2, 240-268, 2003-01-20
On the blow-up and positive entire solutions of semilinear elliptic equations
Proceedings of the Edinburgh Mathematical Society, 43, 3, 625-631, 2000-10-01
[ Blow-up,Entire solutions,Semilinear elliptic equations ]
On the Semilinear Elliptic Equations (formula presented)
Journal of Mathematical Analysis and Applications, 244, 1, 27-38, 2000-04-01
Smoothness and periodicity of some matrix decompositions
SIAM Journal on Matrix Analysis and Applications, 22, 3, 772-792, 2000-01-01
[ Constant rank , Orthonormal factorizations , Periodic matrices ]
Global stability in delay equation models of haematopoiesis
Proceedings of the National Science Council, Republic of China, Part A: Physical Science and Engineering, 24, 4, 293-300, 2000-01-01
[ Global attractivity , Infinity delay , Non-oscillation ]
On the solution structures of the semilinear elliptic equations on ℝn
Nonlinear Analysis, Theory, Methods and Applications, 28, 10, 1741-1750, 1997-01-01
[ Bounded solutions , Maximal solution , Semilinear elliptic equations , Solution structures ]
Existence and asymptotic behavior of singular solutions of quasilinear elliptic equations in Rn
Taiwanese Journal of Mathematics, 1, 2, 195-207, 1997-01-01
[ Ground state , Quasilinear elliptic equations , Singular solutions ]
The limit sets of dynamical systems on spheres
Nonlinear Analysis, Theory, Methods and Applications, 26, 9, 1565-1572, 1996-01-01
[ Dynamical systems , Limit sets , Periodic orbit ]
Conformal metrics with prescribed curvature on Sn
Journal of Differential Equations, 106, 1, 155-185, 1993-01-01
Existence of positive entire solutions of some semilinear elliptic equations
Journal of Differential Equations, 98, 1, 169-180, 1992-01-01

研討會著作

Gaze Tracking with Head Pose Estimation and Compensation
2025-01-01
[ 3D Eye Model,Deep learning,Gaze Tracking,Pose Estimation ]
Multi-Agent Deep Reinforcement Learning for Spectrum Management in V2X with Social Roles
2293-2298, 2023-01-01
[ multi-agent reinforcement learning,resource allocation,social roles,V2x ]
Lightweight Text Spotting for Interactive User Experience in Mixed Reality
2023-01-01
[ Augmented reality,client-server model,mixed reality,text spotting ]
Learning-Based Gaussian Belief Propagation for Bundle Adjustment in Visual SLAM
166-171, 2022-01-01
[ Bundle adjustment,Deep learning,Gaussian Belief Propagation,Machine learning,Neural network,Spatial AI,Visual SLAM ]
Repairing IR depth image with 2D RGB image
2018-01-01
[ 3D-image , depth image complementation , depth information loss , Holistically-Nested Edge Detection method , IR noise , iterative low-pass pervasion , RGB image , RGBD image ]
Singular solutions of the scalar field equation with a critical exponent
277-288, 2016-01-01
[ Critical exponent , Scalar field equation , Singular solution ]

校外榮譽

107 [科技部] 科技部傑出研究獎
101 [科技部] 傑出研究獎

校內獲獎

108 研究傑出獎
105 特聘教授

邀請校外學者來訪

1080813 ~ 1080823 邀請韓國嶺南大學學者參與研習活動
1080804 ~ 1080824 邀請加州理工學院學者參與研習活動
1080626 ~ 1080629 邀請愛媛大學學者參與研習活動
1080626 ~ 1080629 邀請韓國嶺南大學學者參與研習活動
1080527 ~ 1080606 邀請東京工業大學學者參與研習活動
1070814 ~ 1070823 邀請加州理工學院學者參與研習活動
1070620 ~ 1070625 邀請東京工業大學學者參與研習活動
1070528 ~ 1070604 邀請愛媛大學學者參與研習活動

陳建隆

Chern, Jann-Long

現職

專長

專長簡述

最高學歷

相關連結

科技部學門領域

政府GRB研究專長領域

教育部學門領域

國科會計畫統計

期刊著作

Open-Vocabulary Semantic Segmentation for Dynamic 3D Scenes Using Scene Flow Estimation IEEE Robotics and Automation Letters, 11, 7, 8140-8147, 2026-07-01 [ deep learning for visual perception,Semantic scene understanding ]

A FRACTIONAL-ORDER DYNAMICAL APPROACH TO VECTOR EQUILIBRIUM PROBLEMS WITH PARTIAL ORDER INDUCED BY A POLYHEDRAL CONE Journal of Nonlinear and Variational Analysis, 9, 3, 435-459, 2025-01-01 [ Fractional-order dynamical system,Mittag-Leffler stability,Polyhedral cone,Vector equilibrium problem ]

THE NUMERICAL APPROXIMATION OF STATIONARY WAVE SOLUTIONS FOR TWO-COMPONENT SYSTEM OF NONLINEAR SCHRÖDINGER EQUATIONS BY USING GENERALIZATION PETVIASHVILI METHOD Barekeng, 18, 3, 1739-1752, 2024-03-08 [ Equations,Nonlinear Schrödinger,Petviashvili Method,Stationary wave Solutions ]

Existence and non-existence of minimizers for Hardy-Sobolev type inequality with Hardy potentials Applicable Analysis, 103, 10, 1831-1845, 2024-01-01 [ existence,Hardy potential,minimizers of Hardy-Sobolev type inequality,non-existence,Semilinear elliptic equation ]

FracGM: A Fast Fractional Programming Technique for Geman-McClure Robust Estimator IEEE Robotics and Automation Letters, 9, 12, 11666-11673, 2024-01-01 [ Mapping,optimal control,optimization ]

Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions Mathematical Research Letters, 29, 4, 945-960, 2022-01-01

On the evolution equation with a dynamic Hardy-type potential Journal of Evolution Equations, 21, 2, 2141-2165, 2021-06-01 [ Existence,Hardy potential,Heat equation,Initial value problem,Singularity,Uniqueness ]

Classification of solutions for self-dual Chern-Simons CP (1) model Journal of Mathematical Physics, 62, 3, 2021-03-01

Structure of minimizers of cafarelli-kohn-nirenberg inequality Tohoku Mathematical Journal, 72, 4, 551-567, 2020-12-01 [ Cafarelli-kohn-nirenberg inequality,Pohozaev identity,Radial solution,Singular solu-tion,The best constant ]

Properties of solutions to semilinear elliptic problem with Hardy potential Journal of Differential Equations, 269, 2, 1432-1464, 2020-07-05 [ Existence , Hardy potential , Neumann problem , Semilinear elliptic equation , Symmetric properties ]

On the family of non-topological solutions for the elliptic system arising from a product abelian gauge field theory Discrete and Continuous Dynamical Systems, 40, 6, 3291-3304, 2020-01-01 [ Existence , Flux , Non-topological , Solution structure , System ]

Qualitative analysis of singular solutions for nonlinear elliptic equations with potentials Mathematische Annalen, 2020-01-01

The analysis of solutions for Maxwell–Chern–Simons O(3) sigma model Calculus of Variations and Partial Differential Equations, 58, 4, 2019-08-01

Uniqueness of positive solutions to some coupled cooperative variational elliptic systems Transactions of the American Mathematical Society, 370, 7, 5209-5243, 2018-07-01

Asymptotic behavior of equilibrium states of reaction–diffusion systems with mass conservation Journal of Differential Equations, 264, 2, 550-574, 2018-01-15 [ Asymptotic behavior , Concentration phenomena , Equilibrium solution , Mass conservation , Reaction–diffusion system , Stability ]

The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory Journal of Mathematical Physics, 58, 7, 2017-07-01

Topological multivortex solutions for the Chern–Simons system with two Higgs particles Communications in Partial Differential Equations, 41, 4, 705-731, 2016-04-02 [ Chern-Simons system , multivortex solution , Uniqueness ]

Uniqueness of topological multivortex solutions in the Maxwell-Chern-Simons model Journal of Functional Analysis, 270, 6, 2073-2125, 2016-03-15 [ Classification of solutions , Flux for non-topological solutions , Maxwell-Chern-Simons model , Multivortex solutions ]

A classification of semilocal vortices in a Chern-Simons theory Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 33, 2, 575-595, 2016-03-01 [ Chern-Simons-Higgs model , Classification of nontopological solutions for elliptic system , Uniqueness result of topological solutions ]

Uniqueness of topological vortex in a self-dual maxwell-chern-simons-higgs system Indiana University Mathematics Journal, 64, 6, 1747-1766, 2015-01-01 [ Maxwell-Chern-Simons-Higgs system , Topological vortex solutions , Uniqueness ]

The non-topological fluxes of a two-particle system in the Chern-Simons theory Journal of Differential Equations, 256, 10, 3417-3439, 2014-05-15

A survey of solutions in a gravitational Born-infeld theory Journal of Mathematical Physics, 55, 3, 2014-03-12

Existence and uniqueness of singular solutions for elliptic equation on the hyperbolic space Communications on Pure and Applied Analysis, 13, 2, 949-960, 2014-03-01 [ Hyperbolic space , Nonlinear elliptic equations , Singular solutions ]

Evaluating solutions on an elliptic problem in a gravitational gauge field theory Journal of Functional Analysis, 265, 7, 1240-1263, 2013-10-01 [ A gravitational gauge field theory , Nonlinear elliptic equation , Uniqueness and classification of symmetric solutions ]

Structure of solutions to a singular Liouville system arising from modeling dissipative stationary plasmas Discrete and Continuous Dynamical Systems, 33, 6, 2299-2318, 2013-06-01 [ Dissipative stationary plasma , Liouville system , Structure of solutions ]

On the uniqueness of singular solutions for a Hardy-Sobolev equation Discrete and Continuous Dynamical Systems - Series S, SUPPL., 123-128, 2013-01-01 [ Hardy-Sobolev equation , Singular solution , Uniqueness of solutions ]

On the solutions to a Liouville-type system involving singularity Calculus of Variations and Partial Differential Equations, 43, 1-2, 57-81, 2012-01-01

Uniqueness of finite total curvatures and the structure of radial solutions for nonlinear elliptic equations Transactions of the American Mathematical Society, 363, 6, 3211-3231, 2011-06-01

Existence, uniqueness and stability of positive solutions to sublinear elliptic systems Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 141, 1, 45-64, 2011-02-01

On the uniqueness and structure of solutions to a coupled elliptic system Journal of Differential Equations, 249, 12, 3419-3442, 2010-12-15

Erratum to "On the classification of standing wave solutions for the Schrödinger equation" Communications in Partial Differential Equations, 35, 10, 1920-1921, 2010-09-14

Uniqueness of topological solutions and the structure of solutions for the Chern-Simons system with two higgs particles Communications in Mathematical Physics, 296, 2, 323-351, 2010-03-10

On the classification of standing wave solutions for the Schrödinger equation Communications in Partial Differential Equations, 35, 2, 275-301, 2010-02-01 [ Classification of solutions , Schrödinger equation , Standing wave solutions ]

Minimizers of Caffarelli-Kohn-Nirenberg Inequalities with the singularity on the boundary Archive for Rational Mechanics and Analysis, 197, 2, 401-432, 2010-01-01

The structure of radial solutions for elliptic equations arising from the spherical onsager vortex Tohoku Mathematical Journal, 61, 2, 287-307, 2009-06-01 [ Elliptic equation , Spherical Onsager vortex , Structure of solutions ]

Uniqueness and structure of solutions to the Dirichlet problem for an elliptic system Journal of Differential Equations, 246, 9, 3704-3714, 2009-05-01

Structure of the sets of regular and singular radial solutions for a semilinear elliptic equation Journal of Differential Equations, 224, 2, 440-463, 2006-05-15 [ Elliptic equation , Regular and singular solutions ]

The symmetry of least-energy solutions for semilinear elliptic equations Journal of Differential Equations, 187, 2, 240-268, 2003-01-20

On the blow-up and positive entire solutions of semilinear elliptic equations Proceedings of the Edinburgh Mathematical Society, 43, 3, 625-631, 2000-10-01 [ Blow-up,Entire solutions,Semilinear elliptic equations ]

On the Semilinear Elliptic Equations (formula presented) Journal of Mathematical Analysis and Applications, 244, 1, 27-38, 2000-04-01

Smoothness and periodicity of some matrix decompositions SIAM Journal on Matrix Analysis and Applications, 22, 3, 772-792, 2000-01-01 [ Constant rank , Orthonormal factorizations , Periodic matrices ]

Global stability in delay equation models of haematopoiesis Proceedings of the National Science Council, Republic of China, Part A: Physical Science and Engineering, 24, 4, 293-300, 2000-01-01 [ Global attractivity , Infinity delay , Non-oscillation ]

On the solution structures of the semilinear elliptic equations on ℝn Nonlinear Analysis, Theory, Methods and Applications, 28, 10, 1741-1750, 1997-01-01 [ Bounded solutions , Maximal solution , Semilinear elliptic equations , Solution structures ]

Existence and asymptotic behavior of singular solutions of quasilinear elliptic equations in Rn Taiwanese Journal of Mathematics, 1, 2, 195-207, 1997-01-01 [ Ground state , Quasilinear elliptic equations , Singular solutions ]

The limit sets of dynamical systems on spheres Nonlinear Analysis, Theory, Methods and Applications, 26, 9, 1565-1572, 1996-01-01 [ Dynamical systems , Limit sets , Periodic orbit ]

Conformal metrics with prescribed curvature on Sn Journal of Differential Equations, 106, 1, 155-185, 1993-01-01

Existence of positive entire solutions of some semilinear elliptic equations Journal of Differential Equations, 98, 1, 169-180, 1992-01-01

研討會著作

Gaze Tracking with Head Pose Estimation and Compensation 2025-01-01 [ 3D Eye Model,Deep learning,Gaze Tracking,Pose Estimation ]

Multi-Agent Deep Reinforcement Learning for Spectrum Management in V2X with Social Roles 2293-2298, 2023-01-01 [ multi-agent reinforcement learning,resource allocation,social roles,V2x ]

Lightweight Text Spotting for Interactive User Experience in Mixed Reality 2023-01-01 [ Augmented reality,client-server model,mixed reality,text spotting ]

Learning-Based Gaussian Belief Propagation for Bundle Adjustment in Visual SLAM 166-171, 2022-01-01 [ Bundle adjustment,Deep learning,Gaussian Belief Propagation,Machine learning,Neural network,Spatial AI,Visual SLAM ]

Repairing IR depth image with 2D RGB image 2018-01-01 [ 3D-image , depth image complementation , depth information loss , Holistically-Nested Edge Detection method , IR noise , iterative low-pass pervasion , RGB image , RGBD image ]

Singular solutions of the scalar field equation with a critical exponent 277-288, 2016-01-01 [ Critical exponent , Scalar field equation , Singular solution ]

校外榮譽

校內獲獎

邀請校外學者來訪

Open-Vocabulary Semantic Segmentation for Dynamic 3D Scenes Using Scene Flow Estimation
IEEE Robotics and Automation Letters, 11, 7, 8140-8147, 2026-07-01
[ deep learning for visual perception,Semantic scene understanding ]

A FRACTIONAL-ORDER DYNAMICAL APPROACH TO VECTOR EQUILIBRIUM PROBLEMS WITH PARTIAL ORDER INDUCED BY A POLYHEDRAL CONE
Journal of Nonlinear and Variational Analysis, 9, 3, 435-459, 2025-01-01
[ Fractional-order dynamical system,Mittag-Leffler stability,Polyhedral cone,Vector equilibrium problem ]

THE NUMERICAL APPROXIMATION OF STATIONARY WAVE SOLUTIONS FOR TWO-COMPONENT SYSTEM OF NONLINEAR SCHRÖDINGER EQUATIONS BY USING GENERALIZATION PETVIASHVILI METHOD
Barekeng, 18, 3, 1739-1752, 2024-03-08
[ Equations,Nonlinear Schrödinger,Petviashvili Method,Stationary wave Solutions ]

Existence and non-existence of minimizers for Hardy-Sobolev type inequality with Hardy potentials
Applicable Analysis, 103, 10, 1831-1845, 2024-01-01
[ existence,Hardy potential,minimizers of Hardy-Sobolev type inequality,non-existence,Semilinear elliptic equation ]

FracGM: A Fast Fractional Programming Technique for Geman-McClure Robust Estimator
IEEE Robotics and Automation Letters, 9, 12, 11666-11673, 2024-01-01
[ Mapping,optimal control,optimization ]

Uniqueness of higher integrable solution to the Landau equation with Coulomb interactions
Mathematical Research Letters, 29, 4, 945-960, 2022-01-01

On the evolution equation with a dynamic Hardy-type potential
Journal of Evolution Equations, 21, 2, 2141-2165, 2021-06-01
[ Existence,Hardy potential,Heat equation,Initial value problem,Singularity,Uniqueness ]

Classification of solutions for self-dual Chern-Simons CP (1) model
Journal of Mathematical Physics, 62, 3, 2021-03-01

Structure of minimizers of cafarelli-kohn-nirenberg inequality
Tohoku Mathematical Journal, 72, 4, 551-567, 2020-12-01
[ Cafarelli-kohn-nirenberg inequality,Pohozaev identity,Radial solution,Singular solu-tion,The best constant ]

Properties of solutions to semilinear elliptic problem with Hardy potential
Journal of Differential Equations, 269, 2, 1432-1464, 2020-07-05
[ Existence , Hardy potential , Neumann problem , Semilinear elliptic equation , Symmetric properties ]

On the family of non-topological solutions for the elliptic system arising from a product abelian gauge field theory
Discrete and Continuous Dynamical Systems, 40, 6, 3291-3304, 2020-01-01
[ Existence , Flux , Non-topological , Solution structure , System ]

Qualitative analysis of singular solutions for nonlinear elliptic equations with potentials
Mathematische Annalen, 2020-01-01

The analysis of solutions for Maxwell–Chern–Simons O(3) sigma model
Calculus of Variations and Partial Differential Equations, 58, 4, 2019-08-01

Uniqueness of positive solutions to some coupled cooperative variational elliptic systems
Transactions of the American Mathematical Society, 370, 7, 5209-5243, 2018-07-01

Asymptotic behavior of equilibrium states of reaction–diffusion systems with mass conservation
Journal of Differential Equations, 264, 2, 550-574, 2018-01-15
[ Asymptotic behavior , Concentration phenomena , Equilibrium solution , Mass conservation , Reaction–diffusion system , Stability ]

The solution structure of the O(3) sigma model in a Maxwell-Chern-Simons theory
Journal of Mathematical Physics, 58, 7, 2017-07-01

Topological multivortex solutions for the Chern–Simons system with two Higgs particles
Communications in Partial Differential Equations, 41, 4, 705-731, 2016-04-02
[ Chern-Simons system , multivortex solution , Uniqueness ]

Uniqueness of topological multivortex solutions in the Maxwell-Chern-Simons model
Journal of Functional Analysis, 270, 6, 2073-2125, 2016-03-15
[ Classification of solutions , Flux for non-topological solutions , Maxwell-Chern-Simons model , Multivortex solutions ]

A classification of semilocal vortices in a Chern-Simons theory
Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire, 33, 2, 575-595, 2016-03-01
[ Chern-Simons-Higgs model , Classification of nontopological solutions for elliptic system , Uniqueness result of topological solutions ]

Uniqueness of topological vortex in a self-dual maxwell-chern-simons-higgs system
Indiana University Mathematics Journal, 64, 6, 1747-1766, 2015-01-01
[ Maxwell-Chern-Simons-Higgs system , Topological vortex solutions , Uniqueness ]

The non-topological fluxes of a two-particle system in the Chern-Simons theory
Journal of Differential Equations, 256, 10, 3417-3439, 2014-05-15

A survey of solutions in a gravitational Born-infeld theory
Journal of Mathematical Physics, 55, 3, 2014-03-12

Existence and uniqueness of singular solutions for elliptic equation on the hyperbolic space
Communications on Pure and Applied Analysis, 13, 2, 949-960, 2014-03-01
[ Hyperbolic space , Nonlinear elliptic equations , Singular solutions ]

Evaluating solutions on an elliptic problem in a gravitational gauge field theory
Journal of Functional Analysis, 265, 7, 1240-1263, 2013-10-01
[ A gravitational gauge field theory , Nonlinear elliptic equation , Uniqueness and classification of symmetric solutions ]

Structure of solutions to a singular Liouville system arising from modeling dissipative stationary plasmas
Discrete and Continuous Dynamical Systems, 33, 6, 2299-2318, 2013-06-01
[ Dissipative stationary plasma , Liouville system , Structure of solutions ]

On the uniqueness of singular solutions for a Hardy-Sobolev equation
Discrete and Continuous Dynamical Systems - Series S, SUPPL., 123-128, 2013-01-01
[ Hardy-Sobolev equation , Singular solution , Uniqueness of solutions ]

On the solutions to a Liouville-type system involving singularity
Calculus of Variations and Partial Differential Equations, 43, 1-2, 57-81, 2012-01-01

Uniqueness of finite total curvatures and the structure of radial solutions for nonlinear elliptic equations
Transactions of the American Mathematical Society, 363, 6, 3211-3231, 2011-06-01

Existence, uniqueness and stability of positive solutions to sublinear elliptic systems
Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 141, 1, 45-64, 2011-02-01

On the uniqueness and structure of solutions to a coupled elliptic system
Journal of Differential Equations, 249, 12, 3419-3442, 2010-12-15

Erratum to "On the classification of standing wave solutions for the Schrödinger equation"
Communications in Partial Differential Equations, 35, 10, 1920-1921, 2010-09-14

Uniqueness of topological solutions and the structure of solutions for the Chern-Simons system with two higgs particles
Communications in Mathematical Physics, 296, 2, 323-351, 2010-03-10

On the classification of standing wave solutions for the Schrödinger equation
Communications in Partial Differential Equations, 35, 2, 275-301, 2010-02-01
[ Classification of solutions , Schrödinger equation , Standing wave solutions ]

Minimizers of Caffarelli-Kohn-Nirenberg Inequalities with the singularity on the boundary
Archive for Rational Mechanics and Analysis, 197, 2, 401-432, 2010-01-01

The structure of radial solutions for elliptic equations arising from the spherical onsager vortex
Tohoku Mathematical Journal, 61, 2, 287-307, 2009-06-01
[ Elliptic equation , Spherical Onsager vortex , Structure of solutions ]

Uniqueness and structure of solutions to the Dirichlet problem for an elliptic system
Journal of Differential Equations, 246, 9, 3704-3714, 2009-05-01

Structure of the sets of regular and singular radial solutions for a semilinear elliptic equation
Journal of Differential Equations, 224, 2, 440-463, 2006-05-15
[ Elliptic equation , Regular and singular solutions ]

The symmetry of least-energy solutions for semilinear elliptic equations
Journal of Differential Equations, 187, 2, 240-268, 2003-01-20

On the blow-up and positive entire solutions of semilinear elliptic equations
Proceedings of the Edinburgh Mathematical Society, 43, 3, 625-631, 2000-10-01
[ Blow-up,Entire solutions,Semilinear elliptic equations ]

On the Semilinear Elliptic Equations (formula presented)
Journal of Mathematical Analysis and Applications, 244, 1, 27-38, 2000-04-01

Smoothness and periodicity of some matrix decompositions
SIAM Journal on Matrix Analysis and Applications, 22, 3, 772-792, 2000-01-01
[ Constant rank , Orthonormal factorizations , Periodic matrices ]

Global stability in delay equation models of haematopoiesis
Proceedings of the National Science Council, Republic of China, Part A: Physical Science and Engineering, 24, 4, 293-300, 2000-01-01
[ Global attractivity , Infinity delay , Non-oscillation ]

On the solution structures of the semilinear elliptic equations on ℝn
Nonlinear Analysis, Theory, Methods and Applications, 28, 10, 1741-1750, 1997-01-01
[ Bounded solutions , Maximal solution , Semilinear elliptic equations , Solution structures ]

Existence and asymptotic behavior of singular solutions of quasilinear elliptic equations in Rn
Taiwanese Journal of Mathematics, 1, 2, 195-207, 1997-01-01
[ Ground state , Quasilinear elliptic equations , Singular solutions ]

The limit sets of dynamical systems on spheres
Nonlinear Analysis, Theory, Methods and Applications, 26, 9, 1565-1572, 1996-01-01
[ Dynamical systems , Limit sets , Periodic orbit ]

Conformal metrics with prescribed curvature on Sn
Journal of Differential Equations, 106, 1, 155-185, 1993-01-01

Existence of positive entire solutions of some semilinear elliptic equations
Journal of Differential Equations, 98, 1, 169-180, 1992-01-01

Gaze Tracking with Head Pose Estimation and Compensation
2025-01-01
[ 3D Eye Model,Deep learning,Gaze Tracking,Pose Estimation ]

Multi-Agent Deep Reinforcement Learning for Spectrum Management in V2X with Social Roles
2293-2298, 2023-01-01
[ multi-agent reinforcement learning,resource allocation,social roles,V2x ]

Lightweight Text Spotting for Interactive User Experience in Mixed Reality
2023-01-01
[ Augmented reality,client-server model,mixed reality,text spotting ]

Learning-Based Gaussian Belief Propagation for Bundle Adjustment in Visual SLAM
166-171, 2022-01-01
[ Bundle adjustment,Deep learning,Gaussian Belief Propagation,Machine learning,Neural network,Spatial AI,Visual SLAM ]

Repairing IR depth image with 2D RGB image
2018-01-01
[ 3D-image , depth image complementation , depth information loss , Holistically-Nested Edge Detection method , IR noise , iterative low-pass pervasion , RGB image , RGBD image ]

Singular solutions of the scalar field equation with a critical exponent
277-288, 2016-01-01
[ Critical exponent , Scalar field equation , Singular solution ]