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arXiv · 1911.02165

Regularity of the free boundary for the two-phase Bernoulli problem

Guido De Philippis·Luca Spolaor·Bozhidar Velichkov
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Abstract

We prove a regularity theorem for the free boundary of minimizers of the two-phase Bernoulli problem, completing the analysis started by Alt, Caffarelli and Friedman in the 80s. As a consequence, we also show regularity of minimizers of the multiphase spectral optimization problem for the principal eigenvalue of the Dirichlet Laplacian.

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Guido De Philippis, Luca Spolaor, Bozhidar Velichkov. 2019-11-06. Regularity of the free boundary for the two-phase Bernoulli problem. https://arxiv.org/abs/1911.02165

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