Existence of solutions for quasilinear elliptic systems in divergence form with variable growth

被引：8

作者：

Fu, Yongqiang ^{[1
]}

Yang, Miaomiao ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

variable exponent; quasilinear elliptic system; monotone operator; Young measure; EXPONENT;

D O I：

10.1186/1029-242X-2014-23

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the following Dirichlet problem for a quasilinear elliptic system with variable growth: -div sigma(x, u(x), Du(x)) = f in Omega, u(x) = 0 on partial derivative Omega, where Omega subset of R-n is a bounded domain. By means of the Young measure and the theory of variable exponent Sobolev spaces, we obtain the existence of solutions in W-0(1,p(x)) (Omega, R-m) for each f is an element of (W-0(1,p(x)) (Omega, R-m))*.

引用

页数：16

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