Existence and regularity of monotone solutions to a free boundary problem

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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.
22 pages

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Analysis of PDEs, 35B65

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http://salesiana.dossiersoluciones.com/handle/123456789/121961

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701416
 http://arxiv.org/abs/math/0701416

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arXiv