Existence and Multiplicity of Positive Solutions for Quasilinear Elliptic Systems Involving the P-Laplacian

Mahboobeh Zakeri, Seyyed Sadegh Kazemipoor

Publication date: 27 December 2015

Abstract: We study the existence and multiplicity of solutions to the elliptic system where RN 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.

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