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The Journal of Geometric Analysis

, Volume 13, Issue 1, pp 67–75 | Cite as

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

  • K. H. Fieseler
  • K. Tintarev
Article

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.

Math Subject Classifications

58J05 35J20 

Key Words and Phrases

Laplace Beltrami operator semilinear equations critical points convergence concentration 

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Copyright information

© Mathematica Josephina, Inc. 2003

Authors and Affiliations

  1. 1.Department of MathematicsUppsala UniversitySweden

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