The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

Skip to content



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


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.


The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.

Back to top ∧