Singular $p$-biharmonic problem with the Hardy potential
Analysis of PDEs
2024-07-09 v1 Optimization and Control
Abstract
The aim of this paper is to study existence results for a singular problem involving the -biharmonic operator and the Hardy potential. More precisely, by combining monotonicity arguments with the variational method, the existence of solutions is established. By using the Nehari manifold method, the multiplicity of solutions is proved. An example is also given, to illustrate the importance of these results.
Cite
@article{arxiv.2406.18982,
title = {Singular $p$-biharmonic problem with the Hardy potential},
author = {A. Drissi and A. Ghanmi and D. D. Repovš},
journal= {arXiv preprint arXiv:2406.18982},
year = {2024}
}