4 papers · 1 filter
Solutions of the space-fractional heat equation with polynomial growth: Liouville theorems and Schauder estimates
Serena Dipierro, Ovidiu Savin, Enrico Valdinoci +1
With the aim of extending to parabolic equations the framework developed by the first three authors in [Dipierro, Savin, and Valdinoci, Rev. Mat. Iberoam. (2019)], we introduce a n…
Non-local planelike minimizers and -convergence of periodic energies to a local anisotropic perimeter
Serena Dipierro, Matteo Novaga, Enrico Valdinoci +1
We investigate a homogenization problem related to a non-local interface energy with a periodic forcing term. We show the existence of planelike minimizers for such energy. Moreove…
-convergence of the non-local Massari functional and applications to inhomogeneous Allen-Cahn equations
Serena Dipierro, Enrico Valdinoci, Riccardo Villa
We present several asymptotic results concerning the non-local Massari Problem for sets with prescribed mean curvature. In particular, we show that the fractional Massari functiona…
On non-local almost minimal sets and an application to the non-local Massari's Problem
Serena Dipierro, Enrico Valdinoci, Riccardo Villa
We consider a fractional Plateau's problem dealing with sets with prescribed non-local mean curvature. This problem can be seen as a non-local counterpart of the classical Massari'…