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.
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页码：753 / 764
页数：12
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