2 citations · 3 across the 3 of their papers we have counts for
3 papers
Integral operators defined "up to a polynomial''
Serena Dipierro, Aleksandr Dzhugan, Enrico Valdinoci
We introduce a suitable notion of integral operators (comprising the fractional Laplacian as a particular case) acting on functions with minimal requirements at infinity. For these…
Domain Variation Solutions for degenerate two phase free boundary problems
Aleksandr Dzhugan, Fausto Ferrari
We discuss the domain variation solutions notion for some degenerate elliptic two-phase free boundary problems as well as the viscosity definition of the problem when the operator…
Enhanced boundary regularity of planar nonlocal minimal graphs, and a butterfly effect
Serena Dipierro, Aleksandr Dzhugan, Nicolò Forcillo +1
In this note, we showcase some recent results concerning the stickiness properties of nonlocal minimal graphs in the plane. To start with, the nonlocal minimal graphs in the plane…