Geometric Analysis and the Calculus of Variations: For Stefan HildebrandtStefan Hildebrandt, Jurgen Jost, Jürgen Jost This volume is dedicated to the ideas of Stefan Hildebrant, whose doctrinal students include Bernd Schmidt and Klaus Stefan. His solution to the boundry regularity question for minimal surfaces bounded by a pescribed Jordan curve brought him world fame. |
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Contents
Ulrich Dierkes and Gerhard Huisken The Ndimensional Ana | 1 |
Frank Duzaar and Klaus Steffen The Plateau Problem for Para | 13 |
Claus Gerhardt Closed Weingarten Hypersurfaces in Space Forms | 71 |
Copyright | |
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apply argument assume assumption asymptotically ball boundary bounded closed complete conclude condition conformal connected consider constant constant mean curvature construction contained continuous converges convex coordinates curve defined definition denote depending derivative differential Dirichlet domain elliptic energy equation estimate example existence fact field finite fixed follows function geodesic geometric given gives graph growth harmonic maps hence Hildebrandt holds hypersurfaces implies independent inequality integral Lemma limit Lipschitz Math mean curvature measure metric minimal surfaces Moreover normal Note obtain operator parametric Plateau problem positive prescribed principle proof Proposition prove regularity Remark replaced respect result Riemannian manifold satisfies sense sequence smooth solution space sphere subsequence sufficiently Suppose symmetric taking Theorem theory uniformly unique unit values variational vector volume weak weakly zero