Higher-order neck analysis of harmonic maps and its applications
Higher-order neck analysis of harmonic maps and its applications
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DOI：
10.1007/s10455-022-09858-w
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Hao Yin
中科院分区：
文献类型：
--
作者：
Hao Yin
In this paper, we prove some refined estimate in the neck region when a sequence of harmonic maps from surfaces blow up. The new estimate puts more restrictions to the bubble and the weak limit map than the touching required by the classical no-neck theorem. As an application, we prove an inequality about the nullity and index when blow-up occurs.
