Periodic solutions for a differential inclusion problem involving the p ( t )-Laplacian

Advances in Nonlinear Analysis

article

Peng Chen¹  Xianhua Tang³ 

[1] College of Science, China Three Gorges University;Three Gorges Mathematical Research Center, China Three Gorges University;School of Mathematics and Statistics, Central South University

关键词: Locally Lipschitz;    Periodic solution;    p(t)-Laplacian;    Nonsmooth critical point theory;   

DOI  :  10.1515/anona-2020-0156

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

In the present paper, we consider the nonlinear periodic systems involving variable exponent driven by p ( t )-Laplacian with a locally Lipschitz nonlinearity. Our arguments combine the variational principle for locally Lipschitz functions with the properties of the generalized Lebesgue-Sobolev space. Applying the non-smooth critical point theory, we establish some new existence results.

【 授权许可】

CC BY