Existence and asymptotic behavior of solutions for a class of semilinear subcritical elliptic systems

Arruda, Suellen Cristina Q.; Figueiredo, Giovany de Jesus Malcher; Nascimento, Rubia G.

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DC Field	Value	Language
dc.contributor.author	Arruda, Suellen Cristina Q.	-
dc.contributor.author	Figueiredo, Giovany de Jesus Malcher	-
dc.contributor.author	Nascimento, Rubia G.	-
dc.date.accessioned	2022-10-04T23:10:40Z	-
dc.date.available	2022-10-04T23:10:40Z	-
dc.date.issued	2021-11-30	-
dc.identifier.citation	ARRUDA, Suellen Cristina Q.; FIGUEIREDO, Giovany M.; NASCIMENTO, Rubia G. Existence and asymptotic behavior of solutions for a class of semilinear subcritical elliptic systems. Asymptotic Analysis, [S. l.], v. 127, n. 1-2, p. 15-34, 2022. DOI 10.3233/ASY-201671. Disponível em: https://content.iospress.com/articles/asymptotic-analysis/asy201671. Acesso em: 04 out. 2022.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/44998	-
dc.language.iso	Inglês	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Existence and asymptotic behavior of solutions for a class of semilinear subcritical elliptic systems	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Sistemas elípticos	pt_BR
dc.subject.keyword	Análise assintótica	pt_BR
dc.subject.keyword	Condição de Palais-Smale	pt_BR
dc.identifier.doi	https://doi.org/10.3233/ASY-201671	pt_BR
dc.relation.publisherversion	https://content.iospress.com/articles/asymptotic-analysis/asy201671	pt_BR
dc.description.abstract1	In this paper we study the asymptotic behaviour of a family of elliptic systems, as far as the existence of solutions is concerned. We give a special attention to the asymptotic behaviour of W and V as ε goes to zero in the system −ε2Δu+W(x)u=Qu(u,v)in RN,−ε2Δv+V(x)v=Qv(u,v)in RN,u,v∈H1(RN),u(x),v(x)>0for each x∈RN, where ε>0, W and V are positive potentials of C2 class and Q is a p-homogeneous function with subcritical growth. We establish the existence of a positive solution by considering two classes of potentials W and V. Our arguments are based on penalization techniques, variational methods and the Moser iteration scheme.	pt_BR
dc.contributor.email	mailto:scqarruda@ufpa.br	pt_BR
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