JournalsifbVol. 7 , No. 1DOI 10.4171/ifb/113

Geometric properties of Bernoulli-type minimizers

  • Arshak Petrosyan

    Purdue University, West Lafayette, USA
  • Enrico Valdinoci

    Università di Roma Tor Vergata, Italy
Geometric properties of Bernoulli-type minimizers cover

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.