Title:	Ground states of elliptic problems over cones
Authors:	Figueiredo, Giovany de Jesus Malcher Quoirin, Humberto Ramos Silva, Kaye
metadata.dc.contributor.email:	mailto:giovany_ufpa@yahoo.com.br mailto:huiguo_math@163.com
Assunto::	Schrödinger, Equação de Equações diferenciais Sistema diferencial elíptico
Issue Date:	3-Aug-2021
Publisher:	Springer
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.
Abstract:	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.
DOI:	https://doi.org/10.1007/s00526-021-02052-z
metadata.dc.relation.publisherversion:	https://link.springer.com/article/10.1007/s00526-021-02052-z
Appears in Collections:	Artigos publicados em periódicos e afins

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