C. Bucur

activity

20152026

most citedNonlocal diffusion and applications

582 citations · 798 across the 15 of their papers we have counts for

collaborators

Showing 2016 · math.APShow all

3 papers · 2 filters

math.AP2016★ 29 cited

Complete stickiness of nonlocal minimal surfaces for small values of the fractional parameter

Claudia Bucur, Luca Lombardini, Enrico Valdinoci

In this paper, we consider the asymptotic behavior of the fractional mean curvature when $s \to 0^{+}$ . Moreover, we deal with the behavior of $s$ -minimal surfaces when the fractional…

math.AP2016★ 4 cited

A fractional elliptic problem in $R^{n}$ with critical growth and convex nonlinearities

Claudia Bucur, Maria Medina

In this paper we prove the existence of a positive solution of the nonlinear and nonlocal elliptic equation in $R^{n}$ \[ (-Δ)^s u =\varepsilon h u^q+u^{2_s^*-1} \] in the c…

math.AP2016★ 3 cited

Potential theoretic approach to Schauder estimates for the fractional Laplacian

Claudia Bucur, Aram L. Karakhanyan

We present an elementary approach for the proof of Schauder estimates for the equation $(- Δ)^{s} u (x) = f (x), 0 < s < 1$ , with $f$ having a modulus of continuity $ω_{f}$ , based on the Pois…

Complete stickiness of nonlocal minimal surfaces for small values of the fractional parameter

A fractional elliptic problem in Rn with critical growth and convex nonlinearities

Potential theoretic approach to Schauder estimates for the fractional Laplacian

A fractional elliptic problem in $R^{n}$ with critical growth and convex nonlinearities