Skip to main content
  • Research Article
  • Open access
  • Published:

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Aixia Qian.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Qian, A. Existence of infinitely many nodal solutions for a superlinear Neumann boundary value problem. Bound Value Probl 2005, 201383 (2005). https://doi.org/10.1155/BVP.2005.329

Download citation

  • Received:

  • Published:

  • DOI: https://doi.org/10.1155/BVP.2005.329