Titre:	Global multiplicity of positive solutions for a sublinear elliptic equation in RN
Auteur(s):	Yang, Minbo Abrantes, Jefferson Ubilla, Pedro Zhou, Jiazheng
metadata.dc.identifier.orcid:	https://orcid.org/0000-0003-1759-8291 https://orcid.org/0000-0003-2182-7499
metadata.dc.contributor.affiliation:	Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, People's Republic of China Universidade Federal de Campina Grande, Unidade Acadêmica de Matemática Universidad de Santiago de Chile, Departamento de Matematica Universidade de Brasília, Departamento de Matemática (IE MAT)
Assunto::	Métodos variacionais Multiplicidade de soluções Potencial de Riesz
Date de publication:	jan-2025
Editeur:	Elsevier BV
Référence bibliographique:	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.
Abstract:	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.
metadata.dc.description.unidade:	Instituto de Exatas (IE) Departamento de Matemática (IE MAT)
DOI:	https://doi.org/10.1016/j.jde.2024.09.052
Collection(s) :	Artigos publicados em periódicos e afins

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