Calculus of Variations and Geometric Measure Theory
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G. Gravina - G. Leoni

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

created by gravina on 01 Nov 2019



Inserted: 1 nov 2019

Year: 2019

ArXiv: 1910.14643 PDF


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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