Kneser定理之外的可逆调和映射与拟共形调和映射
Invertible harmonic mappings beyond Kneser theorem and quasiconformal harmonic mappings
摘要：
本文将Rado-Choquet-Kneser定理推广到具有Lipschitz边界数据且在边界上Jacobi为本质正的映射，而不限制象域的凸性。它是Alessandrini和Nesi \cite{ale}最近结果的推广.给出了Jordan域间拟共形调和映射族的一些应用。
英文摘要：
In this paper we extend Rado-Choquet-Kneser theorem for the mappings with Lipschitz boundary data and essentially positive Jacobian at the boundary, without restriction on the convexity of image domain. It is an extension of a recent result of Alessandrini and Nesi \cite{ale}. Some applications for the family of quasiconformal harmonic mappings between Jordan domains are given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
