Generalized neck analysis of harmonic maps from surfaces
Generalized neck analysis of harmonic maps from surfaces
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DOI：
10.1007/s00526-021-01978-8
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发表时间：
2020-06
影响因子：
2.1
通讯作者：
Hao Yin
中科院分区：
文献类型：
--
作者：
Hao Yin
本文研究了在广义颈域上由具有一致有界能量曲面构成的调和映射序列的性质。广义颈域是幽灵气泡和连接非平凡气泡的环形颈域的并集。证明了能量密度的上界，并用它来研究序列的零点和指数的极限。
In this paper, we study the behavior of a sequence of harmonic maps from surfaces with uniformly bounded energy on the generalized neck domain. The generalized neck domain is a union of ghost bubbles and annular neck domains, which connects non-trivial bubbles. An upper bound of the energy density is proved and we use it to study the limit of the nullity and index of the sequence.