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Regularity forn-harmonic maps

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Abstract

Here we obtain everywhere regularity of weak solutions of some nonlinear elliptic systems with borderline growth, includingn-harmonic maps between manifolds or map with constant volumes. Other results in this paper include regularity up to the boundary and a removability theorem for isolated singularities.

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Author notes

  1. Libin Mou

    Present address: Department of Mathematics, Bradley University, 61625, Peoria, IL

Authors and Affiliations

  1. Department of Mathematics, University of Southern California, 90089, Los Angeles, CA

    Libin Mou & Paul Yang

Authors
  1. Libin Mou
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  2. Paul Yang
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Partially supported by NSF Grant DMS-9102872

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Mou, L., Yang, P. Regularity forn-harmonic maps. J Geom Anal 6, 91–112 (1996). https://doi.org/10.1007/BF02921568

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  • DOI: https://doi.org/10.1007/BF02921568

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