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Title: On singular quasilinear elliptic equations in RN
Authors: Santos, Gelson Conceição Gonçalves dos
Figueiredo, Giovany de Jesus Malcher
Muhassua, Sábado Saide
metadata.dc.contributor.email: mailto:gelsonsantos@ufpa.br
mailto:giovany@unb.br
mailto:smuhassua@unirovuma.ac.mz
metadata.dc.identifier.orcid: https://orcid.org/0000-0001-5659-087X
https://orcid.org/0000-0003-1697-1592
metadata.dc.contributor.affiliation: Faculdade de Matemática, Universidade Federal do Pará
Universidade de Brasília
Faculdade de Ciências Naturais, Matemática e Estatística, Universidade Rovuma
Assunto:: Equações quasilineares
Soluções positivas
Teorema do Passo da Montanha
Issue Date: 1-Jul-2023
Publisher: Springer Nature
Citation: SANTOS, Gelson C. G. dos; FIGUEIREDO, Giovany M.; MUHASSUA, Sábado Saide. On singular quasilinear elliptic equations in RN. The Journal of Geometric Analysis, v. 33, art. 293, 2023. DOI 10.1007/s12220-023-01356-0. Disponível em: https://link.springer.com/article/10.1007/s12220-023-01356-0. Acesso em: 13 fev. 2025.
Abstract: In this paper we investigate the existence of solutions for two classes of singular quasilinear elliptic problems in RN . For the first class of problems, we use a change of variable with global minimization argument and prove the existence and uniqueness of solution. For the second class of problems, we use a change of variable with local minimization argument and an application of a version of the mountain pass theorem combined with a truncation argument to obtain two solutions.
metadata.dc.description.unidade: Instituto de Ciências Exatas (IE)
Departamento de Matemática (IE MAT)
Licença:: Springer Nature
DOI: https://doi.org/10.1007/s12220-023-01356-0
metadata.dc.relation.publisherversion: https://link.springer.com/article/10.1007/s12220-023-01356-0
Appears in Collections:Artigos publicados em periódicos e afins

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