A sharp Hardy-Sobolev inequality with boundary term and applications

Carvalho, Jonison Lucas dos Santos; Furtado, Marcelo Fernandes; Medeiros, Everaldo Souto de

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dc.contributor.author	Carvalho, Jonison Lucas dos Santos	-
dc.contributor.author	Furtado, Marcelo Fernandes	-
dc.contributor.author	Medeiros, Everaldo Souto de	-
dc.date.accessioned	2025-01-16T15:53:30Z	-
dc.date.available	2025-01-16T15:53:30Z	-
dc.date.issued	2021-12	-
dc.identifier.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.	pt_BR
dc.identifier.uri	http://repositorio.unb.br/handle/10482/51374	-
dc.language.iso	eng	pt_BR
dc.publisher	Springer Nature	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	A sharp Hardy-Sobolev inequality with boundary term and applications	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Desigualdades (Matemática)	pt_BR
dc.subject.keyword	Equações elípticas	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s00030-021-00734-3	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s00030-021-00734-3	pt_BR
dc.description.abstract1	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.	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-8725-4286	pt_BR
dc.contributor.affiliation	Universidade Federal da Paraíba, Departamento de Matemática	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Matemática	pt_BR
dc.contributor.affiliation	Universidade Federal da Paraíba, Departamento de Matemática	pt_BR
dc.description.unidade	Instituto de Ciências Exatas (IE)	pt_BR
dc.description.unidade	Departamento de Matemática (IE MAT)	pt_BR
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