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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
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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