國立中央大學教師履歷平台

期刊著作

• The Harnack inequality for a class of nonlocal parabolic equations
  Communications in Contemporary Mathematics, 2020-01-01
  [ Extension problem,Fractional,Harnack inequality,Heat operator,Nonlocal,Subelliptic ]

• Existence and uniqueness of variational solution to the Neumann problem for the pth sub-Laplacian associated to a system of Hörmander vector fields
  Nonlinear Differential Equations and Applications, 25, 5, 2018-10-01
  [ Existence , Hörmander vector fields , Nonlinear Neumann problem , Uniqueness , Variational solutions ]

• Integrability of the sub-riemannian mean curvature of surfaces in the heisenberg group
  Proceedings of the American Mathematical Society, 140, 3, 811-821, 2012-01-01
  [ First and second variation , H-mean curvature , Integration by parts , Minimal surfaces , Monotonicity of the H-perimeter ]

• The bernstein problem for embedded surfaces in the heisenberg group ℍ1
  Indiana University Mathematics Journal, 59, 2, 563-594, 2010-12-01
  [ Bernstein problem , Heisenberg group , Intrinsic graph , Minimal surfaces ]

• Sub-Riemannian calculus and monotonicity of the perimeter for graphical strips
  Mathematische Zeitschrift, 265, 3, 617-637, 2010-07-01
  [ First and second variation , H-mean curvature , Integration by parts , Minimal surfaces , Monotonicity of the H-perimeter ]

• Instability of graphical strips and a positive answer to the bernstein problem in the heisenberg group ℍ1
  Journal of Differential Geometry, 81, 2, 251-295, 2009-01-01

• A partial solution of the isoperimetric problem for the Heisenberg group
  Forum Mathematicum, 20, 1, 99-143, 2008-01-01

• A notable family of entire intrinsic minimal graphs in the heisenberg group which are not perimeter minimizing
  American Journal of Mathematics, 130, 2, 1-17, 2008-01-01
  [ First and second variation formulas , H-minimal surfaces , Intrinsic graphs ]

• Sub-Riemannian calculus on hypersurfaces in Carnot groups
  Advances in Mathematics, 215, 1, 292-378, 2007-10-20
  [ First and second variation of the horizontal perimeter , H-mean curvature , Horizontal Levi-Civita connection , Horizontal second fundamental form , Intrinsic integration by parts ]

• Non-doubling ahlfors measures, perimeter measures, and the characterization of the trace spaces of sobolev functions in carnot-carathéodory spaces
  Memoirs of the American Mathematical Society, 182, 857, 1-124, 2006-01-01
  [ Besov spaces , Extension , Perimeter measures , Restriction , Sub-elliptic Sobolev spaces , Traces ]

• Mathematical analysis of the two-color partial rainbow options
  International Journal of Phytoremediation, 84, 7, 737-757, 2005-01-01
  [ Integral representation , Options , Pricing , Two-color rainbow ]

• A difference equation arising from logistic population growth
  Applicable Analysis, 83, 6, 579-598, 2004-01-01
  [ Boundedness , Difference equation , Global attractivity , Local stability , Positive solution ]

• The theorem of Busemann-Feller-Alexandrov in Carnot groups
  Communications in Analysis and Geometry, 12, 4, 853-886, 2004-01-01

• Notions of convexity in Carnot groups
  Communications in Analysis and Geometry, 11, 2, 263-341, 2003-01-01

• Properties of harmonic measures in the Dirichlet problem for nilpotent lie groups of Heisenberg type
  American Journal of Mathematics, 124, 2, 273-306, 2002-01-01

• The neumann problem for sub-laplacians on carnot groups and the extension theorem for sobolev spaces
  Annali di Matematica Pura ed Applicata, 180, 1, 1-25, 2001-01-01
  [ (e, S) domain , Camot groups , Extension theorem , Neumann problem , Sobolev spaces , Trace ]

• Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces
  Journal d'Analyse Mathematique, 74, 67-97, 1998-01-01

• A version of a theorem of Dahlberg for the subelliptic dirichlet problem
  Mathematical Research Letters, 5, 4, 541-549, 1998-01-01

• Trace Inequalities for Camot-Carathéodory Spaces and Applications
  Annali della Scuola normale superiore di Pisa - Classe di scienze, 27, 2, 195-252, 1998-01-01

• Isoperimetric and Sobolev inequalities for Carnot-Carathéodory spaces and the existence of minimal surfaces
  Communications on Pure and Applied Mathematics, 49, 10, 1081-1144, 1996-01-01

研討會著作

• On the best possible character of the LQ norm in some a priori estimates for non-divergence form equations in carnot groups
  3487-3498, 2003-11-01
  [ ∞-horizontal Laplacian , Alexandrov-Bakelman-Pucci estimate , Geometric maximum principle , Horizontal Monge-Ampère equation ]