Multiplicity of positive solutions for mixed local-nonlocal singular critical problems
Analysis of PDEs
2024-03-20 v2
Abstract
We prove the existence of at least two positive weak solutions for mixed local-nonlocal singular and critical semilinear elliptic problems in the spirit of [Haitao, 2003], extending the recent results in [Garain, 2023] concerning singular problems and, at the same time, the results in [Biagi, Dipierro, Valdinoci, Vecchi, 2022] regarding critical problems.
Keywords
Cite
@article{arxiv.2308.09794,
title = {Multiplicity of positive solutions for mixed local-nonlocal singular critical problems},
author = {Stefano Biagi and Eugenio Vecchi},
journal= {arXiv preprint arXiv:2308.09794},
year = {2024}
}