32 citations · 254 across the 68 of their papers we have counts for
92 papers
Regularity of the trace of nonlocal minimal graphs
Serena Dipierro, Ovidiu Savin, Enrico Valdinoci
We prove that the trace of nonlocal minimal graphs at points of stickiness is of class~. As a result, we show that boundary continuity implies boundary differentiability f…
On the Boundary Harnack Principle for operators with different lower order terms
Daniela De Silva, Ovidiu Savin
We provide the classical Boundary Harnack principle in Lipschitz domains for solutions to two different linear uniformly elliptic equations with the same principal part.
Density estimates for Ginzburg-Landau energies with degenerate double-well potentials
Ovidiu Savin, Chilin Zhang
We consider a class of Allen-Cahn equations associated with Ginzburg-Landau energies involving degenerate double-well potentials that vanish of order at the minima \begin{equat…
Solutions to the Thin Obstacle Problem with non-2D frequency
Federico Franceschini, Ovidiu Savin
For all odd positive integers , we construct -homogeneous solutions to the thin obstacle problem in with . For large, converges to ,…
Minimizers of the Allen-Cahn energy with sub-quadratic growth
Ovidiu Savin, Chilin Zhang
We establish Liouville theorems for global minimizers of the Allen-Cahn energy which have subquadratic growth at infinity. In particular we…
Concentration of cones in the Alt-Phillips problem
Ovidiu Savin, Hui Yu
We study minimizing cones in the Alt-Phillips problem when the exponent γ is close to 1. When γ converges to 1, we show that the cones concentrate around symmetric solutions to the…