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.

中文翻译：

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表面谐波映射的广义颈部分析

在本文中，我们研究了在广义颈域上具有均匀有界能量的表面的一系列谐波映射的行为。广义颈域是幽灵气泡和环形颈域的结合，连接了非平凡的气泡。证明了能量密度的上限，我们用它来研究序列的无效性和指数的极限。