Calculus of Variations and Geometric Measure Theory
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Workshop MAR: Metric Analysis and Regularity

The measure and the structure of the free boundary in the lower dimensional obstacle problem

Matteo Focardi (Università di Firenze)

created by dimarino on 18 Sep 2018

Abstract.

In this talk I present the main results of a recent paper in collaboration with E. Spadaro (U. Roma La Sapienza) on the regularity of the free boundary for a class of lower dimensional obstacle problems, including the classical scalar Signorini problem. We prove the first results concerning the global structure of the free boundary, in particular showing its local finiteness and its rectifiability.

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