Singular $p$-biharmonic problems involving the Hardy-Sobolev exponent
Analysis of PDEs
2023-09-21 v1 Functional Analysis
Abstract
This paper is concerned with existence results for the singular -biharmonic problem involving the Hardy potential and the critical Hardy-Sobolev exponent. More precisely, by using variational methods combined with the Mountain pass theorem and the Ekeland variational principle, we establish the existence and multiplicity of solutions. To illustrate the usefulness of our results, an illustrative example is also presented.
Cite
@article{arxiv.2309.11465,
title = {Singular $p$-biharmonic problems involving the Hardy-Sobolev exponent},
author = {A. Drissi and A. Ghanmi and D. D. Repovš},
journal= {arXiv preprint arXiv:2309.11465},
year = {2023}
}