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

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

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Campo DC	Valor	Idioma
dc.contributor.author	Figueiredo, Giovany de Jesus Malcher	-
dc.contributor.author	Argomedo Salirrosas, Segundo Manuel	-
dc.date.accessioned	2022-10-21T21:12:33Z	-
dc.date.available	2022-10-21T21:12:33Z	-
dc.date.issued	2021-01-13	-
dc.identifier.citation	FIGUEIREDO, Giovany M.; A. SALIRROSAS, Segundo Manuel. Concentration, existence of a ground state and multiplicity of solutions for a subcritical elliptic system via penalization method. SN Partial Differential Equations and Applications, v. 2, n. 1, art. 6, fev. 2021. DOI 10.1007/s42985-020-00064-6. Disponível em: https://link.springer.com/article/10.1007/s42985-020-00064-6. Acesso em: 21 out. 2022.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/45057	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Springer	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Concentration, existence of a ground state and multiplicity of solutions for a subcritical elliptic system via penalization method	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Sistemas elípticos	pt_BR
dc.subject.keyword	Schrödinger, Equação de	pt_BR
dc.subject.keyword	Ljusternik-Schnirelmann, Teoria de	pt_BR
dc.subject.keyword	Soluções positivas	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s42985-020-00064-6	pt_BR
dc.description.abstract1	We 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.	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0003-1697-1592	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0003-2570-7603	pt_BR
dc.contributor.email	mailto:giovany@unb.br	pt_BR
dc.contributor.email	mailto:semaarsa@gmail.com	pt_BR
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