Nodal and constant sign solutions for singular elliptic problems
Analysis of PDEs
2023-10-30 v1
Abstract
We establish the existence of multiple solutions for singular quasilinear elliptic problems with a precise sign information: two opposite constant sign solutions and a nodal solution. The approach combines sub-supersolutions method and Leray-Schauder topological degree involving perturbation argument.
Keywords
Cite
@article{arxiv.2310.17960,
title = {Nodal and constant sign solutions for singular elliptic problems},
author = {Dumitru Motreanu and Abdelkrim Moussaoui},
journal= {arXiv preprint arXiv:2310.17960},
year = {2023}
}