Asadollah Aghajani, Jamileh Shamshiri
Abstract:
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 email: aghajani@iust.ac.ir | |
Jamileh Shamshiri Department of Mathematics, Karaj Branch Islamic Azad University, Karaj, Iran email: jamileshamshiri@gmail.com |
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