http://repositorio.unb.br/handle/10482/45080| 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, Marcelo Fernandes Medeiros, Everaldo Souto de |
| 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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