Multiple solutions for a weighted $p$-Laplacian problem
Analysis of PDEs
2022-09-20 v1
Abstract
We prove the existence of at least three solutions for a weighted -Laplacian operator involving Dirichlet boundary condition in a weighted Sobolev space. The main tool we use here is a three solution theorem in reflexive Banach spaces due to G. Bonanno and B. Ricceri.
Cite
@article{arxiv.2207.04462,
title = {Multiple solutions for a weighted $p$-Laplacian problem},
author = {Rohit Kumar and Abhishek Sarkar},
journal= {arXiv preprint arXiv:2207.04462},
year = {2022}
}