Open Access

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

Boundary Value Problems20052005:201383

DOI: 10.1155/BVP.2005.329

Received: 12 January 2005

Published: 13 November 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.

Authors’ Affiliations

(1)
Department of Mathematics, Qufu Normal University

Copyright

© Qian 2005