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Existence and regularity of monotone solutions to a free boundary problem
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 131, Number 2, April 2009
- pp. 351-378
- 10.1353/ajm.0.0047
- Article
- Additional Information
We investigate existence and regularity properties of one-phase free boundary graphs, in connection with the question of whether there exists a complete nonplanar free boundary graph in high dimensions.