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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

Aixia Qian

Department of Mathematics, Qufu Normal University, Qufu 273165, Shandong, China

Received 12 January 2005

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.