2 papers
math.AP2021
Regularity results for bounded solutions to obstacle problems with non-standard growth conditions
Andrea Gentile, Raffaella Giova, Andrea Torricelli
In this paper we consider a class of obstacle problems of the type %\begin{equation*} %\int_Ω\left<A(x, Du), D(φ-u)\right> \, \dx\ge0\qquad\forall %φ\in W^{1,q}(Ω) \quad {\mathrm{s…
math.AP2020
Asymptotic analysis of a family of non-local functionals on sets
Michela Eleuteri, Luca Lussardi, Andrea Torricelli
We study the asymptotic behavior of a family of functionals which penalize a short-range interaction of convolution type between a finite perimeter set and its complement. We first…