Existence and subharmonicity of solutions for nonsmooth p-Laplacian systems

被引：1

作者：

Ning, Yan ^{[1
,2
]}

Lu, Daowei ^{[2
]}

Mao, Anmin ^{[1
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Jining Univ, Dept Math, Qufu 273155, Shandong, Peoples R China

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 10期

关键词：

p-Laplacian; locally Lipschitz continuous; nonsmooth saddle point theorem; subharmonic solution; periodic solution; MULTIPLE PERIODIC-SOLUTIONS; HAMILTONIAN-SYSTEMS; DRIVEN;

D O I：

10.3934/math.2021636

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：10947 / 10963

页数：17

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