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On the complex structure of positive solutions to Matukuma-type equations

✍ Scribed by Patricio Felmer; Alexander Quaas; Moxun Tang


Book ID
108052959
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
253 KB
Volume
26
Category
Article
ISSN
0294-1449

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πŸ“œ SIMILAR VOLUMES


Positive Solutions of Yamabe Type Equati
✍ 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