Existence and subharmonicity of solutions for nonsmooth $ p $-Laplacian systems

In this paper we study nonlinear periodic systems driven by the vectorial $ p $-Laplacian with a nonsmooth locally Lipschitz potential function. Using variational methods based on nonsmooth critical point theory, some existence of periodic and subharmonic results are obtained, which improve and exte...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 10; pp. 10947 - 10963
Main Authors Ning, Yan, Lu, Daowei, Mao, Anmin
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
locally lipschitz continuous
nonsmooth saddle point theorem
p-laplacian
periodic solution
subharmonic solution
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Summary:In this paper we study nonlinear periodic systems driven by the vectorial $ p $-Laplacian with a nonsmooth locally Lipschitz potential function. Using variational methods based on nonsmooth critical point theory, some existence of periodic and subharmonic results are obtained, which improve and extend related works.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021636