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Ostrowski-type theorems for harmonic functions

โœ Scribed by Myrto Manolaki


Book ID
113721939
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
177 KB
Volume
391
Category
Article
ISSN
0022-247X

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Liouville theorems for quasi-harmonic fu
โœ Xiangrong Zhu; Meng Wang ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 261 KB

Let N be a compact Riemannian manifold. A self-similar solution for the heat flow is a harmonic map from (R n , e -|x| 2 /2(n-2) ds 2 0 ) to N (n โ‰ฅ 3), which was also called a quasiharmonic sphere (cf. Lin and Wang (1999) [1]). (Here ds 2 0 is the Euclidean metric in R n .) It arises from the blow-