Normalized solutions for an horizontal transmission problem

Figueiredo, Giovany de Jesus Malcher; Siciliano, Gaetano

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DC Field	Value	Language
dc.contributor.author	Figueiredo, Giovany de Jesus Malcher	-
dc.contributor.author	Siciliano, Gaetano	-
dc.date.accessioned	2022-11-03T20:02:47Z	-
dc.date.available	2022-11-03T20:02:47Z	-
dc.date.issued	2020-01-16	-
dc.identifier.citation	FIGUEIREDO, Giovany M.; SICILIANO, Gaetano. Normalized solutions for an horizontal transmission problem. Applicable Analysis: an International Journal, v. 100, n. 15, 2021. DOI 10.1080/00036811.2020.1712371. Disponível em: https://www.tandfonline.com/doi/full/10.1080/00036811.2020.1712371. Acesso em: 03 nov. 2022.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/45086	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Taylor & Francis	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Normalized solutions for an horizontal transmission problem	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Transmissão não linear	pt_BR
dc.subject.keyword	Métodos variacionais	pt_BR
dc.subject.keyword	Gênero de Krasnoselskii	pt_BR
dc.identifier.doi	https://doi.org/10.1080/00036811.2020.1712371	pt_BR
dc.relation.publisherversion	https://www.tandfonline.com/doi/full/10.1080/00036811.2020.1712371	-
dc.description.abstract1	Let Ω be a bounded and smooth domain in RN, N≥3. We study in this paper the following nonlinear transmission problem −Δu+λu=\|u\|p−2uin Ω,−Δv+μv=a(x)\|v\|q−2vin RN∖Ω,u=v and ∂u∂n=∂v∂n=0on ∂Ω, where the unknowns are u:Ω→R,v:RN∖Ω→R and the real numbers λ,μ. Actually we are looking for solutions u, v with prescribed L2-norm. The problem has a variational formulation and indeed, under minimal assumptions, we are able to find infinitely many solutions by using the Krasnoselkii genus, whatever the L2−norm of u and v a priori is.	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0003-1697-1592	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0001-5823-0392	pt_BR
dc.contributor.email	mailto:giovany@unb.br	pt_BR
dc.contributor.email	mailto:sicilian@ime.usp.br	pt_BR
Appears in Collections:	Artigos publicados em periódicos e afins