Xiaoping Yang
Nanjing University of Science and Technology
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Publication
Featured researches published by Xiaoping Yang.
Acta Mathematica Scientia | 2006
Peibiao Zhao; Xiaoping Yang
Abstract Some techniques in the Geometric Measure Theory are used to study the hypersurfaces in Euclidean spaces and some fundamental properties with this subject are discussed in this article.
Acta Mathematica Scientia | 2003
Yingqing Song; Xiaoping Yang; Zhenghai Liu
Abstract The aim of this paper is to get the decomposition of distributional derivatives of functions with bounded variation in the framework of Carnot-Caratheodory spaces (C-C spaces in brievity) in which the vector fields are of Carnot type. For this purpose the approximate continuity of BV functions is discussed first, then approximate differentials of L1 functions are defined in the case that vector fields are of Carnot type and finally the decomposition Xu = ∇u · Ln + Xsи is proved, where и ∈ BVx(Ω) and ∇u denotes the approximate differential of u.
Acta Mathematica Scientia | 2013
Feida Jiang; Xiaoping Yang
Abstract This paper concerns the weak solutions of some Monge-Ampere type equations in the optimal transportation theory. The relationship between the Aleksandrov solutions and the viscosity solutions of the Monge-Ampere type equations is discussed. A uniform estimate for solution of the Dirichlet problem with homogeneous boundary value is obtained.
Acta Mathematica Scientia | 2005
Yingqing Song; Xiaoping Yang; Jiaohua Qin
Abstract The purpose of this paper is to prove existence of minimisers of the functionaln J ( K , u ) : = ∫ f ( L u ) d x + α ∫ ‖ u − g ‖ q d x + β D d Q − 1 ( K ∩ Ω ) , where Ω is an open set of the Heisenberg group Hn, K runs over all closed sets of Hn, u varies inn C H 1 ( Ω /K), α , β >0, q ≥ 1 , g ∈ L q ( Ω ) ∩ L ∞ ( Ω ) and f : R2n → R is a convex function satisfying some structure conditions (H1)(H2)(H3) (see below).
Calculus of Variations and Partial Differential Equations | 2014
Feida Jiang; Neil S. Trudinger; Xiaoping Yang
Journal of Differential Equations | 2015
Feida Jiang; Neil S. Trudinger; Xiaoping Yang
ESAIM: Control, Optimisation and Calculus of Variations | 2013
Ping Chen; Feida Jiang; Xiaoping Yang
ESAIM: Control, Optimisation and Calculus of Variations | 2010
Zhengmeng Jin; Xiaoping Yang
Zeitschrift für Angewandte Mathematik und Physik | 2015
Ping Chen; Feida Jiang; Xiaoping Yang
Archive | 2015
Feida Jiang; Ping Chen; Xiaoping Yang