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Yamabe Flow and Myers Type Theorem on Complete Manifolds

✍ Scribed by Li Ma, Liang Cheng

Book ID
120956760
Publisher
Springer-Verlag
Year
2012
Tongue
English
Weight
364 KB
Volume
24
Category
Article
ISSN
1050-6926

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✍ L Brandolini; M Rigoli; A.G Setti πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 514 KB

We study the semilinear equation 2u+a(x) u=b(x) u \_ (\_>1) on a complete Riemannian manifold. We determine conditions on the coefficients that guarantee existence and nonexistence of positive solutions. A very general uniqueness result is also established. Our main results are valid without explici