Existence of Solutions for Inhomogeneous Biharmonic Problem Involving Critical Hardy-Sobolev Exponents
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Authors: A. BENNOUR, S. MESSIRDI AND A. MATALLAH
DOI: 10.46793/KgJMat2601.151B
Abstract:
This paper is devoted to the study of biharmonic problems. More precisely, we consider the following inhomogeneous problem
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where Ω is a bounded domain in ℝN and N ≥ 5, under sufficient conditions on the data and the considered parameters, we prove the existence and multiplicity of solutions, by virtue of Ekeland’s Variational Principle and the Mountain Pass Lemma.
Keywords:
Palais-Smale condition, Ekeland’s variational principle, critical Hardy-Sobolev exponent, singularity, biharmonic problem.
References:
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