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arXiv · 2204.01231

Tangential contact between free and fixed boundaries for variational solutions to variable coefficient Bernoulli type Free boundary problems

Diego Moreira·Harish Shrivastava
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Abstract

In this paper, we show that given appropriate boundary data, the free boundary and the fixed boundary of minimizers of functionals of type \eqref{functional} contact each other in a tangential fashion. We prove this result via classification of the global profiles, adapting the ideas from \cite{KKS06}.

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Diego Moreira, Harish Shrivastava. 2022-04-04. Tangential contact between free and fixed boundaries for variational solutions to variable coefficient Bernoulli type Free boundary problems. https://arxiv.org/abs/2204.01231

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