32 citations · 254 across the 68 of their papers we have counts for
4 papers · 2 filters
A strict maximum principle for nonlocal minimal surfaces
Serena Dipierro, Ovidiu Savin, Enrico Valdinoci
In the setting of fractional minimal surfaces, we prove that if two nonlocal minimal sets are one included in the other and share a common boundary point, then they must necessaril…
Boundary continuity of nonlocal minimal surfaces in domains with singularities and a problem posed by Borthagaray, Li, and Nochetto
Serena Dipierro, Ovidiu Savin, Enrico Valdinoci
Differently from their classical counterpart, nonlocal minimal surfaces are known to present boundary discontinuities, by sticking at the boundary of smooth domains. It has been ob…
An energy model for harmonic functions with junctions
Daniela De Silva, Ovidiu Savin
We consider an energy model for harmonic graphs with junctions and study the regularity properties of minimizers and their free boundaries.
Non solutions to the special Lagrangian equation
Connor Mooney, Ovidiu Savin
We construct viscosity solutions to the special Lagrangian equation that are Lipschitz but not .