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https://hdl.handle.net/10316/13715
Title: | On the well-posedness of a two-phase minimization problem | Authors: | Urbano, José Miguel Vorotnikov, Dmitry |
Keywords: | In finity Laplacian; Viscosity solutions; Geometric properties of Sobolev functions | Issue Date: | 2010 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 10-03 (2010) | Serial title, monograph or event: | Pré-Publicações DMUC | Issue: | 10-03 | Place of publication or event: | Coimbra | Abstract: | We prove a series of results concerning the emptiness and non-emptiness of a certain set of Sobolev functions related to the well-posedness of a two-phase minimization problem, involving both the p(x)-norm and the in nity norm. The results, although interesting in their own right, hold the promise of a wider applicability since they can be relevant in the context of other problems where minimization of the p-energy in a part of the domain is coupled with the more local minimization of the L1-norm on another region | URI: | https://hdl.handle.net/10316/13715 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
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On the well-posedness of a two-phase minimization problem.pdf | 182.17 kB | Adobe PDF | View/Open |
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