Calculus of Variations and Geometric Measure Theory
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Lusin property and Sard Theorem for Sobolev maps

Giovanni Alberti (Dip. Mat. Univ. Pisa)

created by magnani on 28 Mar 2012

4 apr 2012 -- 17:00

Sala Seminari, Department of Mathematics, Pisa University

Abstract.

I will talk about some results obtained in a joint work with Marianna Csornyei (Chicago) and Bernd Kirchheim (Leipzig), focusing on two properties of Sobolev maps: Sard theorem (what can be said about the dimension of the set of critical values?) and Lusin property (for which dimensions d a Sobolev map takes d-null sets into d-null sets, where d-null means negligible with respect to the d-dimensional Hausdorff measure?). This work is still in progress, and some results are partial.

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