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Yamabe equation on
some complete noncompact manifolds
Guodong Wei |
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Vol. 302 (2019), No. 2, 717–739
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Abstract |
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We consider the Yamabe equation on a complete noncompact Riemannian manifold and find some geometric conditions on the manifold such that the Yamabe problem admits a bounded positive solution. |
Keywords
Yamabe problem, noncompact manifold, Yamabe constant,
blow-up analysis, pointed Cheeger–Gromov topology
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Mathematical Subject Classification 2010
Primary: 53C21
Secondary: 35B40, 35J61, 35R01
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Milestones
Received: 2 August 2017
Revised: 5 January 2019
Accepted: 4 April 2019
Published: 27 November 2019
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Authors |
| Guodong Wei | |
| Key Laboratory of Pure and Applied
Mathematics School of Mathematical Sciences Peking University Beijing China |
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