32 citations · 254 across the 68 of their papers we have counts for
4 papers · 2 filters
A note on the frequency gaps between integers in the thin obstacle problem
Federico Franceschini, Ovidiu Savin
We give a simple proof of the fact that - in all dimensions - there are no homogeneous solutions to the thin obstacle problem with frequency belonging to intervals of the form…
Solutions to the minimal surface system with large singular sets
Connor Mooney, Ovidiu Savin
Lawson and Osserman proved that the Dirichlet problem for the minimal surface system is not always solvable in the class of Lipschitz maps. However, it is known that minimizing seq…
Two-phase problems: Perron solutions and regularity of the Neumann problem in convex cones
Thomas Beck, Daniela De Silva, Ovidiu Savin
We investigate a fully nonlinear two-phase free boundary problem with a Neumann boundary condition on the boundary of a general convex set with corners. We…
Global and regularity for some singular Monge-Ampère equations
Nam Q. Le, Ovidiu Savin
We establish global and regularity for singular Monge-Ampère equations of the form \[\det D^2 u \sim \text{dist}^{-α}(\cdot,\partialΩ),\quad α\in (0, 1),\] und…