Existence of solutions for a semilinear elliptic system
Mathematics Department, Sciences Faculty of
Revised: 4 April 2012
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.
Mathematics Subject Classification: 35J45 / 35J50 / 35J60
Key words: Semilinear elliptic systems / Nehari manifold / concentration-compactness principle / variational methods
© EDP Sciences, SMAI, 2013