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Journal of Applied & Computational Mathematics

ISSN: 2168-9679

Open Access

On P-Laplacian Problem with Decaying Cylindrical Potential and Critical Exponent

Abstract

Mohammed El Mokhtar Ould El Mokhtar

In this paper we prove the existence and multiplicity of solutions for p-laplacian problem with decaying cylindrical potential and critical exponent by using Palais-Smale condition and by splitting the Nehari manifold N in two disjoint subsets N+ and N-, thus considering the minimization problems on N+ and N- respectively.

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