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- W4297918365 abstract "Let $N=(Omega,sigma)$ and $M=(Omega^*,rho)$ be doubly connected Riemann surfaces and assume that $rho$ is a smooth metric with bounded Gauss curvature $mathcal{K}$ and finite area. The paper establishes the existence of homeomorphisms between $Omega$ and $Omega^*$ that minimize the Dirichlet energy. In the class of all homeomorphisms $f colon Omega onto Omega^ast$ between doubly connected domains such that $Mod Omega le Mod Omega^ast$ there exists, unique up to conformal authomorphisms of $Omega$, an energy-minimal diffeomorphism which is a harmonic diffeomorphism. The results improve and extend some recent results of Iwaniec, Koh, Kovalev and Onninen (Inven. Math. (2011)), where the authors considered doubly connected domains in the complex plane w.r. to Euclidean metric." @default.
- W4297918365 created "2022-10-01" @default.
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- W4297918365 date "2011-08-03" @default.
- W4297918365 modified "2023-09-29" @default.
- W4297918365 title "Energy-minimal diffeomorphisms between doubly connected Riemann surfaces" @default.
- W4297918365 doi "https://doi.org/10.48550/arxiv.1108.0773" @default.
- W4297918365 hasPublicationYear "2011" @default.
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