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Inverse theorems for approximation by harmonic functions

โœ Scribed by V. I. Gorbaichuk


Book ID
112471182
Publisher
Springer
Year
1987
Tongue
English
Weight
446 KB
Volume
38
Category
Article
ISSN
0041-5995

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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-