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Existence of Multiple Solutions for p-Laplacian Problems Involving Critical Sobolev-Hardy Exponents and Singular Potential

DOI: 10.4236/oalib.1106812, PP. 1-8

Subject Areas: Mathematical Analysis

Keywords: p-Laplacian Problems, Ekeland's Variational Principle, Mountain Pass Theorem, Critical Hardy-Sobolev Exponent, Singular Potential

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Abstract

In this paper, we establish the existence of multiple solutions for p-Laplacian problems involving critical exponents and singular potential, by using Ekeland's variational principle and mountain pass theorem without Palais-Smale conditions.

Cite this paper

Almuhiameed, Z. I. (2020). Existence of Multiple Solutions for p-Laplacian Problems Involving Critical Sobolev-Hardy Exponents and Singular Potential. Open Access Library Journal, 7, e6812. doi: http://dx.doi.org/10.4236/oalib.1106812.

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