EXISTENCE OF PERIODIC SOLUTIONS FOR A DIFFERENTIAL INCLUSION SYSTEMS INVOLVING THE p(t)-LAPLACIAN

被引：0

作者：

Ge Bin ^{[1
]}

Xue Xiaoping ^{[2
]}

Zhou Qingmei ^{[3
]}

机构：

[1] Harbin Engn Univ, Dept Appl Math, Harbin 150001, Peoples R China

[2] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[3] NE Forestry Univ, Harbin 150040, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2011年 / 31卷 / 05期

基金：

中国博士后科学基金; 美国国家科学基金会;

关键词：

p(t)-Laplacian; periodic solution; variable exponent Sobolev space; minimax principle; generalized subdifferential; local linking reduction method; MULTIPLE SOLUTIONS; FUNCTIONALS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a nonlinear periodic problem driven by the p(t)-Laplacian and having a nonsmooth potential (hemivariational inequalities). Using a variational method based on nonsmooth critical point theory for locally Lipschitz functions, we first prove the existence of at least two nontrivial solutions under the generalized subquadratic and then establish the existence of at least one nontrivial solution under the generalized superquadratic.

引用

页码：1786 / 1802

页数：17

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