Nonstationary weak limit of a stationary harmonic map sequence
Nonstationary weak limit of a stationary harmonic map sequence
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平稳调和映射序列的非平稳弱极限
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
Wei Li
中科院分区：
文献类型：
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作者：
Weiyue Ding;Jiayu Li;Wei Li
设M和N是两个紧黎曼流形。设uk是从M到N的能量有界的平稳调和映射序列。我们可以假定当k → ∞时，它弱收敛到H1，2（M，N）中的弱调和映射u.在本文中，我们构造了一个例子来说明极限映射u可能不是平稳的。© 2002 Wiley Periodicals，Inc.
Let M and N be two compact Riemannian manifolds. Let uk be a sequence of stationary harmonic maps from M to N with bounded energies. We may assume that it converges weakly to a weakly harmonic map u in H1,2 (M, N) as k → ∞. In this paper, we construct an example to show that the limit map u may not be stationary. © 2002 Wiley Periodicals, Inc.