唯一极值拟共形映射的Reich序列的显示示例
Display Example of Reich Sequence for Unique Extremal Quasi-Conformal Mapping
摘要: 拟共形映射的极值理论主要研究给定边界对应的拟共形映射族中极值映射的存在性、唯一性、以及极值映射的性质、特征的刻画等问题。本文中，我们基于极值拟共形映射，研究了在唯一性与非唯一性交界的情况下的正规Reich序列，给出了在唯一性和非唯一性之间的边界情况下唯一极值拟共形映射的Reich序列的示例。
Abstract: The extreme value theory of quasi-conformal mapping mainly studies the existence and uniqueness of the extreme value mapping in the quasi-conformal mapping family corresponding to a given boundary, as well as the properties and characteristics of the extreme value mapping. In this paper, based on the extremal quasi-conformal mapping, the normal Reich sequence at the boundary between uniqueness and non-uniqueness is studied, and example of Reich sequence of the unique extremal quasi-conformal mapping at the boundary between uniqueness and non-uniqueness is given.
文章引用：王雅卿, 张思汇. 唯一极值拟共形映射的Reich序列的显示示例[J]. 运筹与模糊学, 2024, 14(3): 550-558. https://doi.org/10.12677/orf.2024.143292

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