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Existence and regularity of monotone solutions to a free boundary problem

Daniela De Silva
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Abstract

We investigate existence and regularity properties of one-phase free boundary graphs, in connection with the question of whether there exists a complete non-planar free boundary graph in high dimensions.

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Daniela De Silva. 2007-01-15. Existence and regularity of monotone solutions to a free boundary problem. https://arxiv.org/abs/math/0701416

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