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

Seyyed Sadegh Kazemipoor; Mahboobeh Zakeri

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arXiv · 1512.08190

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

Seyyed Sadegh Kazemipoor·Mahboobeh Zakeri

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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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Seyyed Sadegh Kazemipoor, Mahboobeh Zakeri. 2015-12-27. Existence and Multiplicity of Positive Solutions for Quasilinear Elliptic Systems Involving the P-Laplacian. https://arxiv.org/abs/1512.08190

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