Boundary Value Problems
Volume 2005 (2005), Issue 3, Pages 329-335
doi:10.1155/BVP.2005.329

Existence of infinitely many nodal solutions for a superlinear Neumann boundary value problem

Abstract

We study the existence of a class of nonlinear elliptic equation with Neumann boundary condition, and obtain infinitely many nodal solutions. The study of such a problem is based on the variational methods and critical point theory. We prove the conclusion by using the symmetric mountain-pass theorem under the Cerami condition.