EXISTENCE RESULT FOR HEMIVARIATIONAL INEQUALITY INVOLVING p(x)-LAPLACIAN

被引：5

作者：

Barnas, Sylwia ^{[1
,2
]}

机构：

[1] Cracow Univ Technol, Inst Math, Ul Warszawska 24, PL-31155 Krakow, Poland

[2] Jagiellonian Univ, Fac Math & Comp Sci, Inst Math, PL-30348 Krakow, Poland

来源：

OPUSCULA MATHEMATICA | 2012年 / 32卷 / 03期

关键词：

p(x)-Laplacian; Palais-Smale condition; mountain pass theorem; variable exponent Sobolev space;

D O I：

10.7494/OpMath.2012.32.3.439

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the nonlinear elliptic problem with p(x)-Laplacian (hemivariational inequality). We prove the existence of a nontrivial solution. Our approach is based on critical point theory for locally Lipschitz functionals due to Chang [J. Math. Anal. Appl. 80 (1981), 102-129].

引用

页码：439 / 454

页数：16

共 22 条

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[2]

[Anonymous], 1996, CRITICAL POINT THEOR

[3] VARIATIONAL-METHODS FOR NON-DIFFERENTIABLE FUNCTIONALS AND THEIR APPLICATIONS TO PARTIAL-DIFFERENTIAL EQUATIONS [J].