On multiplicity and concentration behavior of solutions for a critical system with equations in divergence form

Figueiredo, Giovany de Jesus Malcher; Argomedo Salirrosas, Segundo Manuel

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dc.contributor.author	Figueiredo, Giovany de Jesus Malcher	-
dc.contributor.author	Argomedo Salirrosas, Segundo Manuel	-
dc.date.accessioned	2022-10-19T21:44:07Z	-
dc.date.available	2022-10-19T21:44:07Z	-
dc.date.issued	2020-07-28	-
dc.identifier.citation	FIGUEIREDO, Giovany M.; A. SALIRROSAS, Segundo Manuel. On multiplicity and concentration behavior of solutions for a critical system with equations in divergence form. Journal of Mathematical Analysis and Applications, v. 494, n. 1, art. 124446, fev. 2021. DOI 10.1016/j.jmaa.2020.124446. Disponível em: https://www.sciencedirect.com/science/article/pii/S0022247X20306089?via%3Dihub. Acesso em: 19 out. 2022.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/45048	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Science Direct	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	On multiplicity and concentration behavior of solutions for a critical system with equations in divergence form	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Schrödinger, Equação de	pt_BR
dc.subject.keyword	Sistemas críticos elípticos	pt_BR
dc.subject.keyword	Ljusternik-Schnirelmann, Teoria de	pt_BR
dc.subject.keyword	Soluções positivas	pt_BR
dc.identifier.doi	https://doi.org/10.1016/j.jmaa.2020.124446	pt_BR
dc.relation.publisherversion	https://www.sciencedirect.com/science/article/pii/S0022247X20306089?via%3Dihub	pt_BR
dc.description.abstract1	We consider the system −ε2div(a(x)∇u) + u = Qu(u, v) + 1 2∗ Ku(u, v) in RN , −ε2div(b(x)∇v) + v = Qv (u, v) + 1 2∗ Kv (u, v) in RN , u, v ∈ H1(RN ), u(x), v(x) > 0 for each x ∈ RN where ∗ = 2N/(N − 2), N ≥ 3, ε > 0, a and b are positive continuous potentials, and Q and K are homogeneous function with K having critical growth. We obtain existence of a ground state solution and relate the number of solutions with the topology of the set where the potentials a and b attain their minima. We also show that at the maximum points of each solution, the potentials a and b converge to their points of minima points when ε converges to zero.	pt_BR
dc.contributor.email	mailto:giovany@unb.br	pt_BR
dc.contributor.email	mailto:semaarsa@gmail.com	pt_BR
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