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Geometric properties of Bernoulli-type minimizers

Interfaces and Free Boundaries (2005) 7(1) 55-78
DOI: 10.4171/IFB/113
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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. © European Mathematical Society 2005.

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Petrosyan, A., & Valdinoci, E. (2005). Geometric properties of Bernoulli-type minimizers. Interfaces and Free Boundaries, 7(1), 55–78. https://doi.org/10.4171/IFB/113

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