582 citations · 798 across the 15 of their papers we have counts for
21 papers
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…
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…
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 given…
Concavity principles for nonautonomous elliptic equations and applications
Nouf Almousa, Claudia Bucur, Roberta Cornale +1
In the study of concavity properties of positive solutions to nonlinear elliptic partial differential equations the diffusion and the nonlinearity are typically independent of the…
Quasilinear logarithmic Choquard equations with exponential growth in
Claudia Bucur, Daniele Cassani, Cristina Tarsi
We consider the -Laplacian Schrödinger equation strongly coupled with higher order fractional Poisson's equations. When the order of the Riesz potential is equal to the Eucl…
-harmonic approximation of functions of least -seminorm
Claudia Bucur, Serena Dipierro, Luca Lombardini +2
We investigate the convergence as of the minimizers of the -energy for and to those of the -energy, both in the pointwis…