Global multiplicity of positive solutions for a sublinear elliptic equation in RN

Yang, Minbo; Abrantes, Jefferson; Ubilla, Pedro; Zhou, Jiazheng

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Campo DC	Valor	Idioma
dc.contributor.author	Yang, Minbo	pt_BR
dc.contributor.author	Abrantes, Jefferson	pt_BR
dc.contributor.author	Ubilla, Pedro	pt_BR
dc.contributor.author	Zhou, Jiazheng	pt_BR
dc.date.accessioned	2026-07-15T13:30:43Z	-
dc.date.available	2026-07-15T13:30:43Z	-
dc.date.issued	2025-1	pt_BR
dc.identifier.citation	YANG, Minbo; ABRANTES, Jefferson; UBILLA, Pedro; ZHOU, Jiazheng. Global multiplicity of positive solutions for a sublinear elliptic equation in RN. Journal of Differential Equations, v. 416, p. 159-189, 2025. DOI: https://doi.org/10.1016/j.jde.2024.09.052. Disponível em: https://www.sciencedirect.com/science/article/pii/S0022039624006375?via%3Dihub#kws0020. Acesso em: 15 jul. 2026.	pt_BR
dc.identifier.uri	https://doi.org/10.1016/j.jde.2024.09.052	pt_BR
dc.identifier.uri	http://repositorio.unb.br/handle/10482/55406	-
dc.language.iso	eng	pt_BR
dc.publisher	Elsevier BV	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Global multiplicity of positive solutions for a sublinear elliptic equation in RN	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Métodos variacionais	pt_BR
dc.subject.keyword	Multiplicidade de soluções	pt_BR
dc.subject.keyword	Potencial de Riesz	pt_BR
dc.identifier.doi	https://doi.org/10.1016/j.jde.2024.09.052	pt_BR
dc.description.abstract1	We establish global multiplicity of positive solutions (existence and nonexistence theory) for the following problem ⎩Δ u + λh(x)f (u) = 0 in RN, u > 0 in RN , u ∈ D1,2(RN ) where N ≥ 3, λ > 0 is a parameter, 0 ≤ h ∈ L∞(RN ) and f is a sublinear nonlinearity at ∞. In order to obtain our results we use a combination of the sub- super solution method and variational techniques. For instance, we need to implement a relevant result of type D1,2(RN ) versus X local minimizer for some appropriate space X.	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0003-1759-8291	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0003-2182-7499	pt_BR
dc.contributor.affiliation	Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, People's Republic of China	pt_BR
dc.contributor.affiliation	Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática	pt_BR
dc.contributor.affiliation	Universidad de Santiago de Chile, Departamento de Matematica	pt_BR
dc.contributor.affiliation	Universidade de Brasília, Departamento de Matemática (IE MAT)	pt_BR
dc.description.unidade	Instituto de Exatas (IE)	pt_BR
dc.description.unidade	Departamento de Matemática (IE MAT)	pt_BR
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