Research Group:
Speaker:
Serena Dipierro
Schedule:
Thursday, January 31, 2013 - 11:00 to 12:00
Location:
A-133
Abstract:
We deal with the asymptotic behavior of the s-perimeter of a set E inside a domain U as s->0. We discuss necessary and sufficient conditions for the existence of such limit, by also providing an explicit formulation in terms of the Lebesgue measure of E and U. Moreover, we construct examples of sets for which the limit does not exist. This is a work in collaboration with A. Figalli, G. Palatucci and E. Valdinoci.