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Obstacle-type problems for minimal surfaces |
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| Authors: | L. Caffarelli O. Savin |
| Affiliation: | 1. Department of Mathematics, University of Texas at Austin, Austin, Texas, USA;2. Department of Mathematics, Columbia University, New York, New York, USA |
| Abstract: | We study certain obstacle-type problems involving standard and nonlocal minimal surfaces. We obtain optimal regularity of the solution and a characterization of the free boundary. |
| Keywords: | Minimal surfaces obstacle problem regularity theory |