cvgmt: Regularity of capacities associated to nonreflexive Sobolev-Lorentz spaces in the Euclidean setting

Calculus of Variations and Geometric Measure Theory

Regularity of capacities associated to nonreflexive Sobolev-Lorentz spaces in the Euclidean setting

Serban Costea (Department of Mathematics and Computer Science, University of Pitesti)

created by gelli on 17 Jan 2016
modified on 25 Jan 2016

3 feb 2016 -- 18:00 [open in google calendar]

Sala Seminari Dipartimento di Matematica di Pisa

Abstract.

We discuss the theory of the capacities associated to Sobolev- Lorentz spaces in the Euclidean setting. We present the basic properties of these capacities, including monotonicity, finite subadditivity and convergence results. We also investigate the regularity of these capacities and we prove that the p, 1-capacity is Choquet for p ≥ n.