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

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

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.

Bibliographic Details
Main Authors: Yukun An, Yuanfang Ru, Fanglei Wang
Format: Article
Language:English
Published: SpringerOpen 2017-11-01
Series:Boundary Value Problems
Subjects:
p ( t ) $p(t)$ -Laplacian
generalized Sobolev space
generalized mountain pass theorem
periodic solution
Online Access:http://link.springer.com/article/10.1186/s13661-017-0901-y

Internet

http://link.springer.com/article/10.1186/s13661-017-0901-y

Similar Items