Utilize este identificador para referenciar este registo:
https://hdl.handle.net/10316/4659
Título: | Degenerate Elliptic Problems in a Class of Free Domains | Autor: | Rodrigues, José Francisco Urbano, José Miguel |
Palavras-chave: | p-Laplacian operator; Free boundary problems; Continuous dependence; Unidirectional non-Newtonian flows | Data: | 1999 | Citação: | Journal des Mathématiques Pures et Appliqués. 78:8 (1999) 819-840 | Resumo: | We study a mixed boundary value problem for an operator of p-Laplacian type. The main feature of the problem is the fact that the exact domain where it is considered is not known a priori and is to be determined so that a certain integral condition is satisfied. We establish the existence of a unique solution to the problem, by means of the analysis of the range of an appropriate real function, and we show the continuous dependence with respect to a family of operators. These results can be applied to the study of unidirectional non-Newtonian flows of power-law type, in particular to solve a simplified problem arising in theoretical glaciology and to show the existence of a Bingham flow in an open channel; the uniqueness in this case is an open problem. | URI: | https://hdl.handle.net/10316/4659 | DOI: | 10.1016/S0021-7824(99)00017-3 | Direitos: | openAccess |
Aparece nas coleções: | FCTUC Matemática - Artigos em Revistas Internacionais |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
---|---|---|---|---|
file3c298418220a483f8b0401fbbba1b208.pdf | 185.34 kB | Adobe PDF | Ver/Abrir |
Todos os registos no repositório estão protegidos por leis de copyright, com todos os direitos reservados.