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FRB

Seminar

Energy minimizing maps with free boundaries

Uraltseva, N (Steklov Mathematical Institute, Russian Academy of Science)
Wednesday 05 February 2014, 14:00-15:00

Seminar Room 2, Newton Institute Gatehouse

Abstract

I am going to present recent results joint with J.Andersson, H.Shahgholian and Georg Weiss. We study the regularity problem for a singular elliptic system of Euler equations corresponding to energy functional with the Lipschitz integrand. It is proved that the set of "regular" free boundary points is localy a C^{1+\betha} surface. In proving this result we need an array of technical tools including monotonicity formulas, quadratic growth of solutions and an epiperimetric inequality for the balanced energy functional.

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