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arXiv · 1707.05460

On a partially overdetermined problem in a cone

Christos Sourdis
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Abstract

We prove a rigidity result for Serrin's overdetermined problem in a cone that is contained in a half-space in arbitrary dimensions. In the special case where the cone is an epigraph, this result was shown previously in low dimensions with a different approach.

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Christos Sourdis. 2017-07-18. On a partially overdetermined problem in a cone. https://arxiv.org/abs/1707.05460

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