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

Peng Chen; Xianhua Tang

doi:10.1515/anona-2020-0156

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

Authors

Chen, Peng^{1, 2}
Tang, Xianhua³

¹ College of Science, China Three Gorges University, P.R. China , (China)
² Three Gorges Mathematical Research Center, China Three Gorges University, P.R. China , (China)
³ School of Mathematics and Statistics, Central South University, P.R. China , (China)

Type

Published Article

Journal

Advances in Nonlinear Analysis

Publisher

De Gruyter

Publication Date

Dec 19, 2020

Volume

10

Issue

1

Pages

799–815

Identifiers

DOI: 10.1515/anona-2020-0156

Source

De Gruyter

Keywords

License

Green

Abstract

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.

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