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Conformally invariant variational integrals and the removability of isolated singularities

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Abstract

We analyze the structure of two-dimensional variational integrals which are invariant under conformal mappings of the parameter domain. This allows us to prove that classical solutions of the corresponding Euler equations cannot have isolated singularities if their Dirichlet integral is finite.

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Authors and Affiliations

  1. Mathematisches Institut der Universität Düsseldorf, Universitätsstr. 1, D-4000, Düsseldorf, Federal Republic of Germany

    Michael Grüter

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  1. Michael Grüter
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This research was supported by the Sonderforschungsbereich 72 of the Deutsche Forschungsgemeinschaft

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Grüter, M. Conformally invariant variational integrals and the removability of isolated singularities. Manuscripta Math 47, 85–104 (1984). https://doi.org/10.1007/BF01174588

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  • DOI: https://doi.org/10.1007/BF01174588

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