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Critical Point Theory Applied to a Class of the Systems of the Superquadratic Wave Equations

Abstract

We show the existence of a nontrivial solution for a class of the systems of the superquadratic nonlinear wave equations with Dirichlet boundary conditions and periodic conditions with a superquadratic nonlinear terms at infinity which have continuous derivatives. We approach the variational method and use the critical point theory which is the Linking Theorem for the strongly indefinite corresponding functional.

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Correspondence to Q-Heung Choi.

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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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Jung, T., Choi, QH. Critical Point Theory Applied to a Class of the Systems of the Superquadratic Wave Equations. Bound Value Probl 2008, 742030 (2009). https://doi.org/10.1155/2008/742030

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  • DOI: https://doi.org/10.1155/2008/742030

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