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.
Cite this article
Arshak Petrosyan, Enrico Valdinoci, Geometric properties of Bernoulli-type minimizers. Interfaces Free Bound. 7 (2005), no. 1, pp. 55–78DOI 10.4171/IFB/113