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.
Geometric properties of Bernoulli-type minimizers / A. Petrosyan, E. Valdinoci. - In: INTERFACES AND FREE BOUNDARIES. - ISSN 1463-9963. - 7:1(2005), pp. 55-77.
Geometric properties of Bernoulli-type minimizers
E. ValdinociUltimo
2005
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.
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