Arshak Petrosyan, Enrico Valdinoci
Geometric properties of Bernoulli-type minimizers
(70K, LaTeX)

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.