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

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Autor(es): dc.contributormailto:scqarruda@ufpa.br-
Autor(es): dc.creatorArruda, Suellen Cristina Q.-
Autor(es): dc.creatorFigueiredo, Giovany de Jesus Malcher-
Autor(es): dc.creatorNascimento, Rubia G.-
Data de aceite: dc.date.accessioned2024-07-22T12:41:21Z-
Data de disponibilização: dc.date.available2024-07-22T12:41:21Z-
Data de envio: dc.date.issued2022-10-04-
Data de envio: dc.date.issued2022-10-04-
Data de envio: dc.date.issued2021-11-29-
Fonte completa do material: dc.identifierhttps://repositorio.unb.br/handle/10482/44998-
Fonte completa do material: dc.identifierhttps://doi.org/10.3233/ASY-201671-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/809265-
Descrição: dc.descriptionIn 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.-
Relação: dc.relationhttps://content.iospress.com/articles/asymptotic-analysis/asy201671-
Direitos: dc.rightsAcesso Restrito-
Palavras-chave: dc.subjectSistemas elípticos-
Palavras-chave: dc.subjectAnálise assintótica-
Palavras-chave: dc.subjectCondição de Palais-Smale-
Título: dc.titleExistence and asymptotic behavior of solutions for a class of semilinear subcritical elliptic systems-
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