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

Boundary Value Problems volume 2005, Article number: 201383 (2005) Cite this article

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.

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

    Aixia Qian

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  1. Aixia Qian
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Correspondence to Aixia Qian.

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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.

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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

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