29 citations · 161 across the 22 of their papers we have counts for
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math.AP2016★ 17 cited
Two-phase anisotropic free boundary problems and applications to the Bellman equation in 2D
Luis Caffarelli, Daniela De Silva, Ovidiu Savin
We prove Lipschitz continuity of solutions to a class of rather general two-phase anisotropic free boundary problems in 2D and we classify global solutions. As a consequence, we ob…
math.AP2016★ 1 cited
Obstacle type problems for minimal surfaces
L. Caffarelli, D. De Silva, O. Savin
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.
math.AP2016★ 1 cited
The two membranes problem for different operators
L. Caffarelli, D. De Silva, O. Savin
We study the two membranes problem for different operators, possibly nonlocal. We prove a general result about the Hölder continuity of the solutions and we develop a viscosity sol…