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Energy minimizing maps with free boundaries

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If you have a question about this talk, please contact Mustapha Amrani.

Free Boundary Problems and Related Topics

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+etha} 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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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