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math.AP2020
On the validity of variational inequalities for obstacle problems with non-standard growth
Michela Eleuteri, Antonia Passarelli di Napoli
The aim of the paper is to show that the solutions to variational problems with non-standard growth conditions satisfy a corresponding variational inequality without any smallness…
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…