Local regularity results for minima of anisotropic functionals and solutions of anisotropic equations

被引：0

作者：

Hongya, Gao ^{[1
,2
]}

Jinjing, Qiao ^{[1
]}

Yong, Wang ^{[3
]}

Yuming, Chu ^{[4
]}

机构：

[1] Hebei Univ, Coll Math & Comp Sci, Baoding 071002, Peoples R China

[2] Study Ctr Math Hebei Prov, Shijiazhuang 050016, Peoples R China

[3] Chengde Teacher Coll Nationalit, Dept Math, Chengdu 067000, Peoples R China

[4] Huzhou Teachers Coll, Fac Sci, Huzhou 313000, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2008年 / 2008卷 / 1期

关键词：

Full Article; Regularity Result; Publisher Note; Local Regularity; Anisotropic Equation;

D O I：

10.1155/2008/835736

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper gives some local regularity results for minima of anisotropic functionals I (u;Omega) = integral(Omega) f(x, u, Du)dx, x is an element of W-loc(1,qi)(Omega) and for solutions of anisotropic equations -div A(x, u, Du) = - Sigma(N)(i=1) (partial derivative f / partial derivative x(i)), u is an element of W-loc(1,qi)(Omega) which can be regarded as generalizations of the classical results. Copyright (C) 2008 Gao Hongya et al.

引用

页数：11

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