MULTIPLE SOLUTIONS FOR A NEUMANN-TYPE DIFFERENTIAL INCLUSION PROBLEM INVOLVING THE p(.)-LAPLACIAN

被引：12

作者：

Chinni, Antonia ^{[1
]}

Livrea, Roberto ^{[2
]}

机构：

[1] Univ Messina, Fac Engn, Dept Sci Engn & Architecture, Math Sect, I-98166 Messina, Italy

[2] Univ Reggio Calabria, Fac Engn, Dept MECMAT, I-89100 Reggio Di Calabria, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2012年 / 5卷 / 04期

关键词：

p(x)-Laplacian; variable exponent Sobolev space; critical points of locally Lipschitz continuous functionals; differential inclusion problem; three-critical-points theorem; CRITICAL-POINTS; VARIATIONAL PRINCIPLE; ELLIPTIC PROBLEMS; FUNCTIONALS; EXISTENCE;

D O I：

10.3934/dcdss.2012.5.753

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using a multiple critical points theorem for locally Lipschitz continuous functionals, we establish the existence of at least three distinct solutions for a Neumann-type differential inclusion problem involving the p(.)-Laplacian.

引用

页码：753 / 764

页数：12

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