Open AccessExistence 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.