77 citations · 285 across the 27 of their papers we have counts for
6 papers · 1 filter
Leibniz rules and Gauss-Green formulas in distributional fractional spaces
Giovanni E. Comi, Giorgio Stefani
We apply the results established in arXiv:2109.15263 to prove some new fractional Leibniz rules involving and functions, following the distributional approach…
An elementary proof of existence and uniqueness for the Euler flow in localized Yudovich spaces
Gianluca Crippa, Giorgio Stefani
We revisit Yudovich's well-posedness result for the -dimensional Euler equations for an inviscid incompressible fluid on either a sufficiently regular (not necessarily bounded)…
The fractional variation and the precise representative of functions
Giovanni E. Comi, Daniel Spector, Giorgio Stefani
We continue the study of the fractional variation following the distributional approach developed in the previous works arXiv:1809.08575, arXiv:1910.13419 and arXiv:2011.03928. We…
Existence and uniqueness theorems for some semi-linear equations on locally finite graphs
Andrea Pinamonti, Giorgio Stefani
We study some semi-linear equations for the -Laplacian operator on locally finite weighted graphs. We prove existence of weak solutions for all and $p\in(1,…
On the convex components of a set in
Flavia Giannetti, Giorgio Stefani
We prove a lower bound on the number of the convex components of a compact set with non-empty interior in for all . Our result generalizes and improves the in…
On the Steiner property for planar minimizing clusters. The anisotropic case
Valentina Franceschi, Aldo Pratelli, Giorgio Stefani
In this paper we discuss the Steiner property for minimal clusters in the plane with an anisotropic double density. This means that we consider the classical isoperimetric problem…