Infinitely many solutions for the p-Laplace equations with nonsymmetric perturbations

Abstract

In this article, we study Dirichlet problems involving the p-Laplacian with a nonsymmetric term. By using the large Morse index of the corresponding Laplace equation, we establish an estimate on the growth of the min-max values for a functional associated with the problem. The estimate is better than the given result in some range. We show that the problem possesses infinitely many weak solutions.

Keywords

• p-Laplacian
• large Morse index
• nonsymmetric
• perturbation
• infinitely many solutions