Partial Regularity for Harmonic Maps into Spheres at a Singular or Degenerate Free Boundary

被引：2

作者：

Moser, Roger ^{[1
]}

Roberts, James ^{[1
]}

机构：

[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2022年 / 32卷 / 02期

关键词：

Harmonic maps; Free boundary; Degenerate elliptic; Partial regularity; SURFACE;

D O I：

10.1007/s12220-021-00788-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove partial regularity of weakly stationary harmonic maps with (partially) free boundary data on manifolds where the domain metric may degenerate or become singular along the free boundary at the rate d(alpha) for the distance function d from the boundary.

引用

页数：39

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