582 citations · 1.8k across the 125 of their papers we have counts for
5 papers · 1 filter
A Lewy-Stampacchia Estimate for quasilinear variational inequalities in the Heisenberg group
Andrea Pinamonti, Enrico Valdinoci
We consider an obstacle problem in the Heisenberg group framework, and we prove that the operator on the obstacle bounds pointwise the operator on the solution. More explicitly, if…
Regularity properties of nonlocal minimal surfaces via limiting arguments
Luis Caffarelli, Enrico Valdinoci
We prove an improvement of flatness result for nonlocal minimal surfaces which is independent of the fractional parameter when . As a consequence, we obtain t…
Hitchhiker's guide to the fractional Sobolev spaces
Eleonora Di Nezza, Giampiero Palatucci, Enrico Valdinoci
This paper deals with the fractional Sobolev spaces W^[s,p]. We analyze the relations among some of their possible definitions and their role in the trace theory. We prove continuo…
Local and global minimizers for a variational energy involving a fractional norm
Giampiero Palatucci, Enrico Valdinoci, Ovidiu Savin
We study existence, unicity and other geometric properties of the minimizers of the energy functional where denotes the tota…
Density estimates for a nonlocal variational model via the Sobolev inequality
Ovidiu Savin, Enrico Valdinoci
We consider the minimizers of the energy with , where denotes the total contribution from in the nor…