GLOBAL INTEGRABILITY FOR SOLUTIONS TO BOUNDARY VALUE PROBLEMS OF ANISOTROPIC FUNCTIONALS

被引：0

作者：

Gao Hongya ^{[1
]}

Liang Shuang ^{[1
]}

Cui Yi ^{[1
]}

机构：

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

来源：

GLASNIK MATEMATICKI | 2016年 / 51卷 / 01期

关键词：

Global integrability; boundary value problem; anisotropic functional; obstacle problem; OBSTACLE PROBLEMS; MINIMIZERS; REGULARITY;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with solutions to boundary value problems of anisotropic integral functionals I(u) = integral(Omega) f(x, Du(x))dx with the energy f (x, z) has growth p(i) with respect to z(i), like in integral(Omega) ((1+Sigma(n)(j=1)vertical bar D(j)u vertical bar p(j))(P1-2/p1)vertical bar D(1)u vertical bar(2)+...+(1+Sigma(n)(j=1)vertical bar D(j)u vertical bar p(j))(Pn-2/pn)vertical bar D(n)u vertical bar(2))dx We show that higher integrability of the boundary datum u(*) forces minimizers u to be more integrable. A similar result is obtained for obstacle problems.

引用

页码：223 / 236

页数：14

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