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https://hdl.handle.net/10316/4659
Title: | Degenerate Elliptic Problems in a Class of Free Domains | Authors: | Rodrigues, José Francisco Urbano, José Miguel |
Keywords: | p-Laplacian operator; Free boundary problems; Continuous dependence; Unidirectional non-Newtonian flows | Issue Date: | 1999 | Citation: | Journal des Mathématiques Pures et Appliqués. 78:8 (1999) 819-840 | Abstract: | 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 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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