Título :	Normalized solutions for an horizontal transmission problem
Autor :	Figueiredo, Giovany de Jesus Malcher Siciliano, Gaetano
metadata.dc.contributor.email:	mailto:giovany@unb.br mailto:sicilian@ime.usp.br
metadata.dc.identifier.orcid:	https://orcid.org/0000-0003-1697-1592 https://orcid.org/0000-0001-5823-0392
Assunto::	Transmissão não linear Métodos variacionais Gênero de Krasnoselskii
Fecha de publicación :	16-ene-2020
Editorial :	Taylor & Francis
Citación :	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.
Abstract:	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.
DOI:	https://doi.org/10.1080/00036811.2020.1712371
metadata.dc.relation.publisherversion:	https://www.tandfonline.com/doi/full/10.1080/00036811.2020.1712371
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