Top-level heading

Asymptotics of the nonlocal perimeter functional

Categoria: 
Seminari di Analisi Matematica
Data e ora inizio evento: 
Data e ora fine evento: 
Aula: 
Sala di Consiglio
Sede: 

Dipartimento di Matematica Guido Castelnuovo, Sapienza Università di Roma

Speaker: 

Giampiero Palatucci (Università di Parma)

I will deal with the asymptotic behavior of the s-Perimeter as s goes to 0, providing an explicit formulation in terms of the Lebesgue measure. Moreover, I will construct some examples of sets for which such limit does not exist, and I will present related open problems. This talk is based on a joint work with S. Dipierro, A. Figalli and E. Valdinoci.