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

Yan Ning | Zendy; Daowei Lu | Zendy; Anmin Mao | Zendy

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

Author(s) -

Yan Ning,

Daowei Lu,

Anmin Mao

Publication year - 2021

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 15

ISSN - 2473-6988

DOI - 10.3934/math.2021636

Subject(s) - lipschitz continuity , p laplacian , mathematics , nonlinear system , subharmonic , critical point (mathematics) , laplace operator , function (biology) , mathematical analysis , pure mathematics , physics , quantum mechanics , evolutionary biology , biology , boundary value problem

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.

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