Existence and regularity of monotone solutions to a free boundary problem

Details Existence and regularity of monotone solutions to a free boundary problem Existence and regularity of monotone solutions to a free boundary problem

2007-01-15

arxiv.org/abs/math/0701416v1

Mathematics

Analysis of PDEs

22 pages

Scientific paper

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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