Bubbling phenomena of biharmonic maps
Bubbling phenomena of biharmonic maps
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双调和映射的冒泡现象
DOI：
10.1016/j.geomphys.2015.07.013
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发表时间：
2015
影响因子：
1.5
通讯作者：
Nobumitsu Nakauchi and Hajime Urakawa
中科院分区：
文献类型：
--
作者：
Kei Kondo;Minoru Tanaka;Shigeo Kawai and Nobumitsu Nakauchi;Masashi Misawa and Nobumitsu Nakauchi;Nobumitsu Nakauchi and Hajime Urakawa
本文利用Moser迭代技巧证明了具有m-能量(m=dim M≥3)的两个紧致黎曼流形(M，g)和(N，h)与张量场的L 2范数之间的双调和映射的全体中的每一个序列都引起了气泡现象，这是调和映射的一个推广.
In this paper, by using Moser’s iteration technique, we will show that every sequence in the totality of biharmonic maps between two compact Riemannian manifolds (M, g) and (N, h) with m-energies (m= dim M≥ 3) and L 2-norm of the tension fields which are bounded above by any positive constant C, causes the bubbling phenomena, which is a generalization of the one for harmonic maps.