Three solutions to inequalities of Dirichlet problem driven by p（x）-Laplacian

Three solutions to inequalities of Dirichlet problem driven by p（x）-Laplacian

A class of nonlinear elliptic problems driven by p（x）-Laplacian with a nonsmooth locally Lipschitz potential is considered.By applying the version of the nonsmooth three-critical-point theorem,the existence of three solutions to the problems is proved.

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Veröffentlicht in:Applied mathematics and mechanics 2010, Vol.31 (10), p.1283-1292
1. Verfasser: 葛斌 薛小平 郭梦舒
Format: Artikel
Sprache:eng
Schlagworte:
Dirichlet问题
Laplace算子
Laplacian
Lipschitz
非光滑
非线性椭圆问题
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Zusammenfassung:A class of nonlinear elliptic problems driven by p（x）-Laplacian with a nonsmooth locally Lipschitz potential is considered.By applying the version of the nonsmooth three-critical-point theorem,the existence of three solutions to the problems is proved.
ISSN:0253-4827
1573-2754