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Type: Artigo
Title: A bifurcation and symmetry result for critical fractional laplacian equations involving a perturbation
Author: Zuo, Jiabin
Li, Mingwei
Li, Bomeng
Qiao, Zhenhua
Abstract: In the present paper, by using the variational and topological methods, we obtain a multiplicity and bifurcation result for the following fractional problems involving critical nonlinearities and a lower order perturbation:−LKv=μv+|v|2∗s−2v+g(x,v)in Ω,v=0in RN∖Ω, where Ω is an open and bounded domain with Lipschitz boundary, N>2s, with s∈(0,1), g is a lower order perturbation of the critical power |v|2∗s−2v and μ is a positive real parameter, 2∗s=2NN−2s is the fractional critical Sobolev exponent, while LK is an integro-differential operator. Precisely, we show that the number of nontrivial solutions for this equation under suitable assumptions is at least twice the multiplicity of the eigenvalue. Our conclusions improve the related results in some respects
Subject: Matrizes laplacianas
Country: Alemanha
Editor: Springer
Rights: Aberto
Identifier DOI: 10.1186/s13662-020-2532-3
Date Issue: 2020
Appears in Collections:IMECC - Artigos e Outros Documentos

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