Título :	Existence and asymptotic behavior of solutions for a class of semilinear subcritical elliptic systems
Autor :	Arruda, Suellen Cristina Q. Figueiredo, Giovany de Jesus Malcher Nascimento, Rubia G.
metadata.dc.contributor.email:	mailto:scqarruda@ufpa.br
Assunto::	Sistemas elípticos Análise assintótica Condição de Palais-Smale
Fecha de publicación :	30-nov-2021
Citación :	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.
Abstract:	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.
DOI:	https://doi.org/10.3233/ASY-201671
metadata.dc.relation.publisherversion:	https://content.iospress.com/articles/asymptotic-analysis/asy201671
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