Existence and uniqueness of weak solutions to singular anisotropic elliptic problems
Analysis of PDEs
2026-04-13 v1
Abstract
In this paper we consider a quasilinear singular anisotropic elliptic problem with a p-sublinear perturbation. We prove uniqueness of weak solutions and we provide necessary and sufficient conditions for the existence of weak solutions in the same spirit of the celebrated paper by Lazer and McKenna.
Cite
@article{arxiv.2604.08733,
title = {Existence and uniqueness of weak solutions to singular anisotropic elliptic problems},
author = {Francesco Esposito and Francescantonio Oliva and Eugenio Vecchi},
journal= {arXiv preprint arXiv:2604.08733},
year = {2026}
}