Multiplicity of positive solutions for mixed local-nonlocal singular critical problems

Fuente: arXiv
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Autores principales: Biagi, Stefano, Vecchi, Eugenio
Formato: Preprint
Publicado: 2023
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author Biagi, Stefano
Vecchi, Eugenio
author_facet Biagi, Stefano
Vecchi, Eugenio
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2308_09794
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Multiplicity of positive solutions for mixed local-nonlocal singular critical problems
Biagi, Stefano
Vecchi, Eugenio
Analysis of PDEs
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.
title Multiplicity of positive solutions for mixed local-nonlocal singular critical problems
topic Analysis of PDEs
url https://arxiv.org/abs/2308.09794