Geometric properties of Bernoulli-type minimizers

Arshak Petrosyan, Enrico Valdinoci

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We consider a Bernoulli-type variational problem and we prove some geometric properties for minimizers, such as: gradient bounds, linear growth from the free boundary, density estimates, uniform convergence of level sets and the existence of plane-like minimizers in periodic media.

Original languageEnglish
Pages (from-to)55-78
Number of pages24
JournalInterfaces and Free Boundaries
Volume7
Issue number1
DOIs
Publication statusPublished - 1 Jan 2005
Externally publishedYes

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