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

2023/08/18 by Stefano Biagi, Biagi, Stefano, Eugenio Vecchi +1 · 5 citations
Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2308.09794

openalex publication_date 2023/08/18 · openalex created_date 2023/08/23 · openalex updated_date 2026/07/28

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.

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