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Existence of solutions for a semilinear elliptic system
Published online by Cambridge University Press: 15 February 2013
Abstract
This paper deals with the existence of solutions to the following system:
With the help of the Nehari manifold and the linking theorem, we prove the existence of at least two nontrivial solutions. One of them is positive. Our main tools are the concentration-compactness principle and the Ekeland’s variational principle.
Keywords
- Type
- Research Article
- Information
- ESAIM: Control, Optimisation and Calculus of Variations , Volume 19 , Issue 2 , April 2013 , pp. 574 - 586
- Copyright
- © EDP Sciences, SMAI, 2013
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