Dirichlet problem with p(x)-Laplacian

被引：0

作者：

Ilias, Petre Sorin ^{[1
]}

机构：

[1] Univ Bucharest, Fac Math & Comp Sci, Bucharest 010014, Romania

来源：

MATHEMATICAL REPORTS | 2008年 / 10卷 / 01期

关键词：

p(x)-laplacian; generalized Lebesgue-Sobolev space; critical points; surjectivity theorem;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give several sufficient conditions for the existence of weak solutions for the Dirichlet problem with p(x)-laplacian { -Delta(p(x))u = f(x, u) in Omega u = 0 on partial derivative Omega, where Omega is a bounded domain in R-N, p(x) a continuous function defined on (Omega) over bar with p(x) > 1 for all x epsilon (Omega) over bar and f : Omega x R -> R a Caratheodory function.

引用

页码：43 / 56

页数：14

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