- Research Article
- Open Access
- Published:
An Application of Category Theory to a Class of the Systems of the Superquadratic Wave Equations
Journal of Inequalities and Applications volume 2010, Article number: 850602 (2010)
Abstract
We investigate the nontrivial solutions for a class of the systems of the superquadratic nonlinear wave equations with Dirichlet boundary condition and periodic condition with a superquadratic nonlinear terms at infinity which have continuous derivatives. We approach the variational method and use the critical point theory on the manifold, in terms of the limit relative category of the sublevel subsets of the corresponding functional.
Publisher note
To access the full article, please see PDF.
Author information
Authors and Affiliations
Corresponding author
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.
About this article
Cite this article
Jung, T., Choi, QH. An Application of Category Theory to a Class of the Systems of the Superquadratic Wave Equations. J Inequal Appl 2010, 850602 (2010). https://doi.org/10.1155/2010/850602
Received:
Accepted:
Published:
DOI: https://doi.org/10.1155/2010/850602
Keywords
- Boundary Condition
- Wave Equation
- Variational Method
- Dirichlet Boundary
- Nonlinear Term