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On Liouville’s Theorem for Biharmonic Functions

✍ Scribed by Huilgol, R. R.


Book ID
118195521
Publisher
Society for Industrial and Applied Mathematics
Year
1971
Tongue
English
Weight
244 KB
Volume
20
Category
Article
ISSN
0036-1399

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📜 SIMILAR VOLUMES


Liouville theorems for quasi-harmonic fu
✍ Xiangrong Zhu; Meng Wang 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 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 ≥ 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-