Multiplicity of Solutions for a problem in double weighted Orlicz-Sobolev and its spectrum
Analysis of PDEs
2023-09-12 v1 Functional Analysis
Spectral Theory
Abstract
The purpose of this paper is to investigate the existence of three different weak solutions to a nonlinear elliptic problem that is governed by the weighted {\varphi}-Laplacian operator and subjected to Dirichlet boundary conditions. We also examine the presence of sequences of variational eigenvalues in two distinct scenarios, one with and one without assuming the {\Delta_2}-condition. Our main results are obtained through technical proofsthat combine a Lagrange multipliers type approach with the Ljusternik-Schnirelmann argument.
Keywords
Cite
@article{arxiv.2309.04804,
title = {Multiplicity of Solutions for a problem in double weighted Orlicz-Sobolev and its spectrum},
author = {Abderrahmane Lakhdari and Nedra Belhaj Rhouma},
journal= {arXiv preprint arXiv:2309.04804},
year = {2023}
}