Existence of nonconstant periodic solutions for a class of second-order systems with p ( t ) $p(t)$ -Laplacian

Boundary Value Problems

Yuanfang Ru¹  Fanglei Wang²  Yukun An³ 

[1] College of Science, China Pharmaceutical University;College of Science, Hohai University;College of Science, Nanjing University of Aeronautics and Astronautics;

关键词: p ( t ) $p(t)$ -Laplacian;    generalized Sobolev space;    generalized mountain pass theorem;    periodic solution;   

DOI  :  10.1186/s13661-017-0901-y

来源: DOAJ

【 摘 要 】

Abstract In this paper, we investigate a class of second-order p ( t ) $p(t)$ -Laplacian systems with local ‘superquadratic’ potential. By using the generalized mountain pass theorem, we obtain an existence result for nonconstant periodic solutions.

【 授权许可】

Unknown