Concentration, existence of a ground state and multiplicity of solutions for a subcritical elliptic system via penalization method

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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.accessioned2024-07-22T11:27:05Z-
Data de disponibilização: dc.date.available2024-07-22T11:27:05Z-
Data de envio: dc.date.issued2022-10-20-
Data de envio: dc.date.issued2022-10-20-
Data de envio: dc.date.issued2021-01-12-
Fonte completa do material: dc.identifierhttps://repositorio.unb.br/handle/10482/45057-
Fonte completa do material: dc.identifierhttps://doi.org/10.1007/s42985-020-00064-6-
Fonte completa do material: dc.identifierhttps://orcid.org/0000-0003-1697-1592-
Fonte completa do material: dc.identifierhttps://orcid.org/0000-0003-2570-7603-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/780633-
Descrição: dc.descriptionWe consider the system −ε2 div (a(x)∇u)+u=Qu(u,v) in RN,−ε2 div (b(x)∇v)+v=Qv(u,v) in RN,u,v∈H1(RN),u(x),v(x)>0for each x∈RN, where ε>0, a and b are positive continuous potentials and Q is a p-homogeneous function with subcritical growth. In the first place we show existence of a ground state solution for this system. After that, we show existence of multiple solutions involving the category theory and the topology of the sets of minima of the potentials a and b . Finally, we show a concentration result. More precisely, we show that at the maximum points of each solution, the potentials a and b converge to their points of minimum points when ε converges to zero.-
Publicador: dc.publisherSpringer-
Direitos: dc.rightsAcesso Restrito-
Palavras-chave: dc.subjectSistemas elípticos-
Palavras-chave: dc.subjectSchrödinger, Equação de-
Palavras-chave: dc.subjectLjusternik-Schnirelmann, Teoria de-
Palavras-chave: dc.subjectSoluções positivas-
Título: dc.titleConcentration, existence of a ground state and multiplicity of solutions for a subcritical elliptic system via penalization method-
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