|
|||||
|
|
Obstacle-type problems for minimal surfaces |
|
| Authors: | L Caffarelli O Savin |
| Institution: | 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 |