29 citations · 39 across the 11 of their papers we have counts for
Showing 2018Show all
2 papers · 1 filter
math.AP2018★ 3 cited
Minimization problems involving nonlocal functionals: nonlocal minimal surfaces and a free boundary problem
Luca Lombardini
This doctoral thesis is devoted to the analysis of some minimization problems that involve nonlocal functionals. We are mainly concerned with the -fractional perimeter and its m…
math.AP2018
Bernstein-Moser-type results for nonlocal minimal graphs
Matteo Cozzi, Alberto Farina, Luca Lombardini
We prove a flatness result for entire nonlocal minimal graphs having some partial derivatives bounded from either above or below. This result generalizes fractional versions of cla…