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

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MetadadosDescriçãoIdioma
Autor(es): dc.contributormailto:giovany@unb.br-
Autor(es): dc.contributormailto:semaarsa@gmail.com-
Autor(es): dc.creatorFigueiredo, Giovany de Jesus Malcher-
Autor(es): dc.creatorArgomedo Salirrosas, Segundo Manuel-
Data de aceite: dc.date.accessioned2024-07-22T12:05:32Z-
Data de disponibilização: dc.date.available2024-07-22T12:05:32Z-
Data de envio: dc.date.issued2022-10-18-
Data de envio: dc.date.issued2022-10-18-
Data de envio: dc.date.issued2020-07-28-
Fonte completa do material: dc.identifierhttps://repositorio.unb.br/handle/10482/45048-
Fonte completa do material: dc.identifierhttps://doi.org/10.1016/j.jmaa.2020.124446-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/795784-
Descrição: dc.descriptionWe 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.-
Publicador: dc.publisherScience Direct-
Relação: dc.relationhttps://www.sciencedirect.com/science/article/pii/S0022247X20306089?via%3Dihub-
Direitos: dc.rightsAcesso Restrito-
Palavras-chave: dc.subjectSchrödinger, Equação de-
Palavras-chave: dc.subjectSistemas críticos elípticos-
Palavras-chave: dc.subjectLjusternik-Schnirelmann, Teoria de-
Palavras-chave: dc.subjectSoluções positivas-
Título: dc.titleOn multiplicity and concentration behavior of solutions for a critical system with equations in divergence form-
Aparece nas coleções:Repositório Institucional – UNB

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