32 citations · 254 across the 68 of their papers we have counts for
4 papers · 2 filters
Boundary behavior of nonlocal minimal surfaces
Serena Dipierro, Ovidiu Savin, Enrico Valdinoci
We consider the behavior of the nonlocal minimal surfaces in the vicinity of the boundary. By a series of detailed examples, we show that nonlocal minimal surfaces may stick at the…
Graph properties for nonlocal minimal surfaces
Serena Dipierro, Ovidiu Savin, Enrico Valdinoci
In this paper we show that a nonlocal minimal surface which is a graph outside a cylinder is in fact a graph in the whole of the space. As a consequence, in dimension~, we show…
Schauder estimates for degenerate Monge-Ampère equations and smoothness of the eigenfunctions
Nam Q. Le, Ovidiu Savin
We obtain estimates up to the boundary for solutions to degenerate Monge-Ampère equations of the type $$ \det D^2 u = f~~\text{in}~Ω, \quad \quad ~f\sim \text{dist}^α(\cd…
Some singular minimizers in low dimensions in the calculus of variations
Connor Mooney, Ovidiu Savin
We construct a singular minimizing map from to of a smooth uniformly convex functional of the form .