Titre:	On a critical and a supercritical system with fast increasing weights
Auteur(s):	Bandeira, Vinicius P. Figueiredo, Giovany de Jesus Malcher
metadata.dc.identifier.orcid:	https://orcid.org/0000-0002-1287-4341
metadata.dc.contributor.affiliation:	Universidade de Brasília, Departamento de Matemática Universidade de Brasília, Departamento de Matemática
Assunto::	Sistemas elípticos Soluções auto-similares
Date de publication:	avr-2022
Editeur:	Elsevier Ltd.
Référence bibliographique:	BANDEIRA, Vinicius P.; FIGUEiREDO, Giovany. On a critical and a supercritical system with fast increasing weights. Nonlinear Analysis: Real World Applications, v. 64, 103431, abr. 2022. DOI: https://doi.org/10.1016/j.nonrwa.2021.103431.
Abstract:	We consider the system { −div(K(x)∇u) = K(x)Qu(u, v) + 1 2∗ K(x)Hu(u, v) in RN , −div(K(x)∇v) = K(x)Qv(u, v) + 1 2∗ K(x)Hv(u, v) in RN , where 2 ∗ = 2N/(N − 2), N ≥ 3, K(x) = exp ( |x| 2 /4 ) and Q and H are homogeneous functions with H having critical growth. We obtain existence of a ground state solution using variational methods. We also prove a existence result for a supercritical version of the above system.
metadata.dc.description.unidade:	Instituto de Ciências Exatas (IE) Departamento de Matemática (IE MAT)
DOI:	https://doi.org/10.1016/j.nonrwa.2021.103431
metadata.dc.relation.publisherversion:	https://www.sciencedirect.com/science/article/abs/pii/S1468121821001437?via%3Dihub
Collection(s) :	Artigos publicados em periódicos e afins

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