On the well-posedness of a two-phase minimization problem

José Miguel Urbano, Dmitry Vorotnikov

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 infinity 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 L∞-norm on another region. © 2011 Elsevier Inc.
Original languageEnglish (US)
Pages (from-to)159-168
Number of pages10
JournalJournal of Mathematical Analysis and Applications
Issue number1
StatePublished - Jun 1 2011
Externally publishedYes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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