Title:	A sharp Hardy-Sobolev inequality with boundary term and applications
Authors:	Carvalho, Jonison Lucas dos Santos Furtado, Marcelo Fernandes Medeiros, Everaldo Souto de
metadata.dc.identifier.orcid:	https://orcid.org/0000-0002-8725-4286
metadata.dc.contributor.affiliation:	Universidade Federal da Paraíba, Departamento de Matemática Universidade de Brasília, Departamento de Matemática Universidade Federal da Paraíba, Departamento de Matemática
Assunto::	Desigualdades (Matemática) Equações elípticas
Issue Date:	Dec-2021
Publisher:	Springer Nature
Citation:	CARVALHO, J. L.; FURTADO, M. F.; MEDEIROS, E. S. A sharp Hardy-Sobolev inequality with boundary term and applications. Nonlinear Differential Equations and Applications, [S. l.], v. 29, n. 5, 2022. DOI: https://doi.org/10.1007/s00030-021-00734-3.
Abstract:	In this paper, we state a Hardy–Sobolev type inequality with boundary terms in a borderline case. As an application, we investigate the existence of solutions for a class of zero-mass quasilinear elliptic problem of the form { −div(a(x)|∇u|N−2∇u) = k(x)f(u) in Ω,a(x)|∇u|N−2 (∇u · ν) + |u|N−2u = 0 on ∂Ω, where Ω ⊂ RN , N ≥ 2, is an exterior domain, the weight functions a, k satisfy some growth conditions and the nonlinearity f has critical exponential growth.
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
DOI:	https://doi.org/10.1007/s00030-021-00734-3
metadata.dc.relation.publisherversion:	https://link.springer.com/article/10.1007/s00030-021-00734-3
Appears in Collections:	Artigos publicados em periódicos e afins

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