Semilinear elliptic problems and concentration compactness on non-compact Riemannian man\-i\-folds (Q1414833)
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scientific article; zbMATH DE number 2013176
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semilinear elliptic problems and concentration compactness on non-compact Riemannian man\-i\-folds |
scientific article; zbMATH DE number 2013176 |
Statements
Semilinear elliptic problems and concentration compactness on non-compact Riemannian man\-i\-folds (English)
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4 December 2003
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The authors prove the existence of solutions to semilinear problems for the Laplace-Beltrami operator on non-compact Riemannian manifolds with rich symmetries. The methods involved rely on concentration compactness techniques based on actions of the manifold's isometry group.
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Laplace-Beltrami operator
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Riemannian manifold
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semilinear equation
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critical points
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concentration compactness
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