5 papers · 1 filter
On the -limit of weighted fractional energies
Andrea Kubin, Giorgio Saracco, Giorgio Stefani
Given and a bounded open set with Lipschitz boundary, we study the -convergence of the weighted fractional seminorm \[ [u]_{s,p,f}^p = \…
A variational approach to the volume-preserving anisotropic mean curvature flow in 2D
Andrea Kubin, Domenico Angelo La Manna, Enrico Pasqualetto
In this article, we introduce a variational algorithm, in the spirit of the minimizing movements scheme, to model the volume-preserving anisotropic mean curvature flow in 2D. We sh…
On variational scheme modeling the anisotropic surface diffusion with elasticity in the plane
Andrea Kubin
In this paper, we prove the existence of classical solutions for the anisotropic surface diffusion with elasticity in the plane using a minimizing movements scheme, provided that t…
Characterization of sets of finite local and non local perimeter via non local heat equation
Andrea Kubin, Domenico Angelo La Manna
In this paper we provide a characterization of sets of finite local and non local perimeter via a convergence result. As an application we give a proof of the isoperimetric in…
Second-order asymptotics of fractional Gagliardo seminorms as and convergence of the associated gradient flows
Andrea Kubin, Valerio Pagliari, Antonio Tribuzio
We study the second-order asymptotic expansion of the -fractional Gagliardo seminorm as in terms of a higher order nonlocal functional. We prove a Mosco-convergence re…