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SUMMARY:Energy minimizing maps with free boundaries - Uraltseva\, N (Stekl
 ov Mathematical Institute\, Russian Academy of Science)
DTSTART:20140205T140000Z
DTEND:20140205T150000Z
UID:TALK50671@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I am going to present recent results joint with J.Andersson\,\
 nH.Shahgholian and Georg Weiss. We study the regularity problem\nfor a sin
 gular elliptic system of Euler equations corresponding to\nenergy function
 al with the Lipschitz integrand. It is proved that\nthe set of "regular" f
 ree boundary points is localy a C^{1+etha}\nsurface. In proving this resu
 lt we need an array of technical tools\nincluding monotonicity formulas\, 
 quadratic growth of solutions\nand an epiperimetric inequality for the bal
 anced energy functional.\n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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