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math.AP2026
Asymptotics as of the nonlocal nonparametric Plateau problem with obstacles
Claudia Bucur, Luca Lombardini
In this paper, we introduce a functional and a geometric setting for an obstacle problem for nonlocal minimal graphs. In particular we study existence of solutions, a priori estima…
math.AP2025
Solutions of the fractional 1-Laplacian: existence, asymptotics and flatness results
Claudia Bucur
In this paper, we study the existence of solutions of the equation in a bounded open set with Lipschitz boundary $Ω\subset \Rn$, vanishing on $\Co Ω$, for some gi…
math.AP2024
Continuity of s-minimal functions
Claudia Bucur, Serena Dipierro, Luca Lombardini +1
We consider the minimization property of a Gagliardo-Slobodeckij seminorm which can be seen as the fractional counterpart of the classical problem of functions of least gradient an…