Open AccessGeometric properties of Bernoulli-type minimizers
Author(s) -
Arshak Petrosyan,
Enrico Valdinoci
Publication year - 2005
Publication title -
interfaces and free boundaries mathematical analysis computation and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.964
H-Index - 39
eISSN - 1463-9971
pISSN - 1463-9963
DOI - 10.4171/ifb/113
Subject(s) - bernoulli's principle , type (biology) , mathematics , mathematical analysis , pure mathematics , geometry , physics , geology , thermodynamics , paleontology
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. 2000 Mathematics Subject Classification: Primary 49J10, 35R35; Secondary 35J70.
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