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Mathematics > Analysis of PDEs

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

Authors: Stefano Biagi, Eugenio Vecchi
(Submitted on 18 Aug 2023 (v1), last revised 19 Mar 2024 (this version, 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.
Subjects: Analysis of PDEs (math.AP)
Cite as: arXiv:2308.09794 [math.AP]
  (or arXiv:2308.09794v2 [math.AP] for this version)

Submission history

From: Stefano Biagi [view email]
[v1] Fri, 18 Aug 2023 19:49:37 GMT (36kb)
[v2] Tue, 19 Mar 2024 10:13:09 GMT (45kb)
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