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Titre: On a zero-mass (N, q)-Laplacian equation in RN with exponential critical growth
Auteur(s): Carvalho, Jonison Lucas dos Santos
Figueiredo, Giovany de Jesus Malcher
Furtado, M.F.
Medeiros, Everaldo
metadata.dc.contributor.email: mailto:jonison.mat@gmail.com
mailto:giovany@unb.br
mailto:mfurtado@unb.br
mailto:everaldo@mat.ufpb.br
Assunto:: Sobolev, Espaço de
Desigualdade de Trudinger-Moser
Equações quasilineares
Date de publication: déc-2021
Editeur: Elsevier
Référence bibliographique: CARVALHO, J. L. et al. On a zero-mass (N, q)-Laplacian equation in RN with exponential critical growth. Nonlinear Analysis, v. 213, art. 112488, dez. 2021.DOI 10.1016/j.na.2021.112488. Disponível em: https://www.sciencedirect.com/science/article/pii/S0362546X21001541. Acesso em: 27 out. 2022.
Abstract: In this work, we investigate the existence of solution for the quasilinear elliptic equation −∆N u − ∆qu = f(u) in RN, where 1 < q < N and the nonlinearity f has exponential critical growth in the Trudinger–Moser sense. In order to obtain the solution, we use a variational approach based on a new Trudinger–Moser type inequality which is proved here.
DOI: https://doi.org/10.1016/j.na.2021.112488
metadata.dc.relation.publisherversion: https://www.sciencedirect.com/science/article/pii/S0362546X21001541
Collection(s) :Artigos publicados em periódicos e afins

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