Eine globalanalytische Behandlung des Douglas'schen Problems.
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Karlheinz Schüffler (1984)
Manuscripta mathematica
Ge Yuxin (1998)
ESAIM: Control, Optimisation and Calculus of Variations
Ge Yuxin (2010)
ESAIM: Control, Optimisation and Calculus of Variations
In the first part of this paper, we study the best constant involving the L2 norm in Wente's inequality. We prove that this best constant is universal for any Riemannian surface with boundary, or respectively, for any Riemannian surface without boundary. The second part concerns the study of critical points of the associate energy functional, whose Euler equation corresponds to H-surfaces. We will establish the existence of a non-trivial critical point for a plan domain with small holes.
Jürgen Jost (1987)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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