Boundary Value Problems
Volume 2005 (2005), Issue 3, Pages 329-335

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

Aixia Qian

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

Received 12 January 2005

Copyright © 2005 Aixia Qian. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.