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P-harmonic obstacle problems

Part II: Extensions of Maps and Applications

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Abstract

We prove an extension theorem for Sobolev functions which plays an important role in the partial regularity theory of vector valued functions which minimize degenerate variational integrals subject to some nonlinear side conditions in the image space.

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Authors and Affiliations

  1. Mathematisches Institut der Universität Düsseldorf, Universitätsstr. 1, D-4000, Düsseldorf

    Martin Fuchs

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  1. Martin Fuchs
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Fuchs, M. P-harmonic obstacle problems. Manuscripta Math 63, 381–419 (1989). https://doi.org/10.1007/BF01171756

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  • DOI: https://doi.org/10.1007/BF01171756

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