Positive solutions of the prescribed mean curvature equation with exponential critical growth

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorFigueiredo, Giovany de Jesus Malcher-
Autor(es): dc.creatorRădulescu, Vicenţiu D.-
Data de aceite: dc.date.accessioned2025-03-18T17:43:08Z-
Data de disponibilização: dc.date.available2025-03-18T17:43:08Z-
Data de envio: dc.date.issued2022-10-20-
Data de envio: dc.date.issued2022-10-20-
Data de envio: dc.date.issued2021-03-01-
Fonte completa do material: dc.identifierhttps://repositorio.unb.br/handle/10482/45059-
Fonte completa do material: dc.identifierhttps://doi.org/10.1007/s10231-021-01077-7-
Fonte completa do material: dc.identifierhttps://orcid.org/0000-0003-1697-1592-
Fonte completa do material: dc.identifierhttps://orcid.org/0000-0003-4615-5537-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/934298-
Descrição: dc.descriptionIn this paper, we are concerned with the problem − div ⎛⎝⎜∇u1+|∇u|2−−−−−−−−√⎞⎠⎟=f(u) in Ω, u=0 on ∂Ω, where Ω⊂R2 is a bounded smooth domain and f:R→R is a superlinear continuous function with critical exponential growth. We first make a truncation on the prescribed mean curvature operator and obtain an auxiliary problem. Next, we show the existence of positive solutions of this auxiliary problem by using the Nehari manifold method. Finally, we conclude that the solution of the auxiliary problem is a solution of the original problem by using the Moser iteration method and Stampacchia’s estimates.-
Formato: dc.formatapplication/pdf-
Publicador: dc.publisherSpringer Nature-
Direitos: dc.rightsAcesso Aberto-
Direitos: dc.rightsAnnali di Matematica Pura ed Applicata (1923 -) articles are published open access under a CC BY licence (Creative Commons Attribution 4.0 International licence). The CC BY licence is the most open licence available and considered the industry 'gold standard' for open access; it is also preferred by many funders. This licence allows readers to copy and redistribute the material in any medium or format, and to alter, transform, or build upon the material, including for commercial use, providing the original author is credited. Fonte: https://www.springer.com/journal/10231/how-to-publish-with-us#Fees%20and%20Funding. Acesso em: 21 out. 2022.-
Palavras-chave: dc.subjectCurvatura média constante-
Palavras-chave: dc.subjectCrescimento exponencial crítico-
Palavras-chave: dc.subjectLewy–Stampacchia, Estimativa de-
Título: dc.titlePositive solutions of the prescribed mean curvature equation with exponential critical growth-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional – UNB - Rep. 1

Não existem arquivos associados a este item.