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Nonexistence and uniqueness of positive solutions of Yamabe type equations on nonpositively curved manifolds
We prove nonexistence and uniqueness of positive C^{2} --solutions of the elliptic equation \Delta u +a(x)u - K(x)u^{\sigma }=0 , \sigma >1, on a nonpositively curved, complete manifold (M,g) .
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Published in: | Transactions of the American Mathematical Society 1997-12, Vol.349 (12), p.4753-4774 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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Summary: | We prove nonexistence and uniqueness of positive C^{2} --solutions of the elliptic equation \Delta u +a(x)u - K(x)u^{\sigma }=0 , \sigma >1, on a nonpositively curved, complete manifold (M,g) . |
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ISSN: | 0002-9947 1088-6850 |
DOI: | 10.1090/S0002-9947-97-01810-2 |