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Semilinear elliptic problems and concentration compactness on non-compact Riemannian manifolds

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Abstract

Existence of solution for semilinear problem with the Laplace-Beltrami operator on non-compact Riemannian manifolds with rich symmetries is proved by concentration compactness based on actions of the manifold's isometry group.

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Authors and Affiliations

  1. Department of Mathematics, Uppsala University, P.O. Box 480, 75106, Sweden

    K. H. Fieseler & K. Tintarev

Authors
  1. K. H. Fieseler
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  2. K. Tintarev
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Correspondence to K. H. Fieseler.

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Communicated by David Jerison

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Fieseler, K.H., Tintarev, K. Semilinear elliptic problems and concentration compactness on non-compact Riemannian manifolds. J Geom Anal 13, 67–75 (2003). https://doi.org/10.1007/BF02930997

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  • DOI: https://doi.org/10.1007/BF02930997

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