32 citations · 254 across the 68 of their papers we have counts for
4 papers · 1 filter
Some monotonicity results for minimizers in the calculus of variations
Ovidiu Savin, Enrico Valdinoci
We obtain monotonicity properties for minima and stable solutions of general energy functionals of the type under the assumption that a certain inte…
Global estimates for solutions to the linearized Monge--Ampère equations
Nam Q. Le, Truyen Nguyen
In this paper, we establish global estimates for solutions to the linearized Monge-Ampère equations under natural assumptions on the domain, Monge-Ampère measures and bou…
Regularity of Lipschitz free boundaries for the thin one-phase problem
Daniela De Silva, Ovidiu Savin
We study regularity properties of the free boundary for the thin one-phase problem which consists of minimizing the energy functional $$\label{E} E(u,Ω) = \int_Ω|\nabla u|^2 dX + \…
Regularity of nonlocal minimal cones in dimension 2
Ovidiu Savin, Enrico Valdinoci
We show that the only nonlocal -minimal cones in are the trivial ones for all . As a consequence we obtain that the singular set of a nonlocal minimal surfac…