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Singular Solutions of Fractional Order Conformal Laplacians

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Abstract

We investigate the singular sets of solutions of a natural family of conformally covariant pseudodifferential elliptic operators of fractional order, with the goal of developing generalizations of some well-known properties of solutions of the singular Yamabe problem.

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Authors and Affiliations

  1. Universitat Politecnica de Catalunya, Av. Diagonal, 647 08028, Barcelona, Spain

    Maria del Mar González

  2. Department of Mathematics, Stanford University, Stanford, CA, 94305, USA

    Rafe Mazzeo

  3. Université Paul Cézanne, Aix-Marseille III, Avenue Escadrille Normandie-Niemen, 13397, Marseille, France

    Yannick Sire

Authors
  1. Maria del Mar González
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  2. Rafe Mazzeo
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  3. Yannick Sire
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Correspondence to Yannick Sire.

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Communicated by Michael Taylor.

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del Mar González, M., Mazzeo, R. & Sire, Y. Singular Solutions of Fractional Order Conformal Laplacians. J Geom Anal 22, 845–863 (2012). https://doi.org/10.1007/s12220-011-9217-9

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  • DOI: https://doi.org/10.1007/s12220-011-9217-9

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