Harmonic maps which solve a free-boundary problem.
Harmonic maps which solve a free-boundary problem.
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DOI：
10.1515/crll.1987.381.61
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发表时间：
1987
期刊：
影响因子：
--
通讯作者：
J. Jost;R. Gulliver
中科院分区：
文献类型：
--
作者：
J. Jost;R. Gulliver
近年来，调和映射的研究取得了长足的进步。大多数边值问题的存在性和正则性结果都与Dirichlet问题有关，在Dirichlet问题中，要求映射与其区域边界上的给定映射一致。在本文中，我们将讨论一个自由边界问题，它是高原边界条件和曲面自由边界条件的自然推广。
The study of harmonic mappings has seen considerable progress in recent years. Most of the existence and regularity results for boundary-value problems have concerned themselves with the Dirichlet problem, in which the mapping is required to agree with a given mapping on the boundary of its domain. In the present paper, we shall address a free-boundary problem, which is a natural extension of the Plateau boundary conditions and the free boundary conditions for surfaces.