Scaling Sobolev-Lorentz Capacities in the Euclidean Setting

Luogo: Dipartimento di Matematica, via Sommarive, 14 - Povo (TN) - Aula Seminari
Ore 15:00

Relatore:

• Şerban Costea (Università di Trento)

Abstract: 
We discuss the capacity theory based on the denition of Sobolev functions in the Euclidean setting with respect to the Lorentz quasinorm. We present the basic properties of these capacities, including monotonicity, nite subadditivity and convergence results. We also recall the known estimates for the capacity of balls and the connection between the p-capacity and the p-Laplacian.

Referente: Francesco Serra Cassano