Existence of energy-minimal diffeomorphisms between doubly connected domains

The paper establishes the existence of homeomorphisms between two planar domains that minimize the Dirichlet energy. Among all homeomorphisms between bounded doubly connected domains such that Mod Ω≤Mod Ω ∗ there exists, unique up to conformal authomorphisms of Ω , an energy-minimal diffeomorphism ....

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Veröffentlicht in:	Inventiones mathematicae 2011-12, Vol.186 (3), p.667-707
Hauptverfasser:	Iwaniec, Tadeusz, Koh, Ngin-Tee, Kovalev, Leonid V., Onninen, Jani
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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