Calculus of Variations and Geometric Measure Theory
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Regularity of capacities associated to nonreflexive Sobolev-Lorentz spaces in the Euclidean setting

Serban Costea

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


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.

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