Ground states of elliptic problems over cones

Figueiredo, Giovany de Jesus Malcher; Quoirin, Humberto Ramos; Silva, Kaye

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Campo DC	Valor	Idioma
dc.contributor.author	Figueiredo, Giovany de Jesus Malcher	-
dc.contributor.author	Quoirin, Humberto Ramos	-
dc.contributor.author	Silva, Kaye	-
dc.date.accessioned	2022-10-19T20:21:52Z	-
dc.date.available	2022-10-19T20:21:52Z	-
dc.date.issued	2021-08-03	-
dc.identifier.citation	FIGUEIREDO, Giovany M.; QUOIRIN, Humberto Ramos; SILVA, Kaye. Ground states of elliptic problems over cones. Calculus of Variations and Partial Differential Equations, v. 60, art. 189, 2021. DOI 10.1007/s00526-021-02052-z. Disponível em: https://link.springer.com/article/10.1007/s00526-021-02052-z. Acesso em: 07 out. 2022.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/45046	-
dc.language.iso	Inglês	pt_BR
dc.publisher	Springer	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Ground states of elliptic problems over cones	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Schrödinger, Equação de	pt_BR
dc.subject.keyword	Equações diferenciais	pt_BR
dc.subject.keyword	Sistema diferencial elíptico	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s00526-021-02052-z	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s00526-021-02052-z	pt_BR
dc.description.abstract1	Given a reflexive Banach space X, we consider a class of functionals Φ∈C1(X,R) that do not behave in a uniform way, in the sense that the map t↦Φ(tu), t>0, does not have a uniform geometry with respect to u∈X. Assuming instead such a uniform behavior within an open cone Y⊂X∖{0}, we show that Φ has a ground state relative to Y. Some further conditions ensure that this relative ground state is the (absolute) ground state of Φ. Several applications to elliptic equations and systems are given.	pt_BR
dc.contributor.email	mailto:giovany_ufpa@yahoo.com.br	pt_BR
dc.contributor.email	mailto:huiguo_math@163.com	pt_BR
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