Compensation phenomena in geometric partial differential equations

In this thesis we present optimal and improved estimates for systems of critical elliptic PDE which arise as generalisations of natural geometric problems. We provide optimal regularity and compactness results for ‘Rivière’s equation’ for two dimensional domains via a new decay estimate, andwe exhi...

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Bibliographic Details
Main Author: Sharp, Benjamin G.
Published: University of Warwick 2012
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.560372