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arXiv · 1910.14643

On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions

Giovanni Gravina·Giovanni Leoni
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Abstract

This paper is concerned with the study of the behavior of the free boundary for a class of solutions to a one-phase Bernoulli free boundary problem with mixed periodic-Dirichlet boundary conditions. It is shown that if the free boundary of a symmetric local minimizer approaches the point where the two different conditions meet, then it must do so at an angle of $\pi/2$

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Giovanni Gravina, Giovanni Leoni. 2019-10-31. On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions. https://arxiv.org/abs/1910.14643

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