Asadollah Aghajani, Jamileh Shamshiri
We study the existence and multiplicity of solutions to the elliptic system
where is a bounded and smooth domain. Using fibering maps and extracting Palais-Smale sequences in the Nehari manifold, we prove the existence of at least two distinct nontrivial nonnegative solutions.
Submitted June 19, 2012. Published July 2, 2012.
Math Subject Classifications: 35B38, 34B15, 35J92.
Key Words: Critical points; nonlinear boundary value problems; quasilinear p-Laplacian problem; fibering map; Nehari manifold.
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| Asadollah Aghajani |
School of Mathematics
Iran University of Science and Technology
P.O. Box 16846-13114, Narmak, Tehran, Iran
| Jamileh Shamshiri |
Department of Mathematics, Karaj Branch
Islamic Azad University, Karaj, Iran
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