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

Abstract

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.

Keywords

• p ( t ) $p(t)$ -Laplacian
• generalized Sobolev space
• generalized mountain pass theorem
• periodic solution