On a critical and a supercritical system with fast increasing weights

Bandeira, Vinicius P.; Figueiredo, Giovany de Jesus Malcher

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Campo DC	Valor	Idioma
dc.contributor.author	Bandeira, Vinicius P.	-
dc.contributor.author	Figueiredo, Giovany de Jesus Malcher	-
dc.date.accessioned	2024-07-08T16:26:22Z	-
dc.date.available	2024-07-08T16:26:22Z	-
dc.date.issued	2022-04	-
dc.identifier.citation	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.	pt_BR
dc.identifier.uri	http://repositorio2.unb.br/jspui/handle/10482/48601	-
dc.language.iso	eng	pt_BR
dc.publisher	Elsevier Ltd.	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	On a critical and a supercritical system with fast increasing weights	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Sistemas elípticos	pt_BR
dc.subject.keyword	Soluções auto-similares	pt_BR
dc.identifier.doi	https://doi.org/10.1016/j.nonrwa.2021.103431	pt_BR
dc.relation.publisherversion	https://www.sciencedirect.com/science/article/abs/pii/S1468121821001437?via%3Dihub	pt_BR
dc.description.abstract1	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.	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-1287-4341	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Matemática	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Matemática	pt_BR
dc.description.unidade	Instituto de Ciências Exatas (IE)	pt_BR
dc.description.unidade	Departamento de Matemática (IE MAT)	pt_BR
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