论文标题
在单数或退化的自由边界处的谐波图的部分规律性
Partial Regularity for Harmonic Maps into Spheres at a Singular or Degenerate Free Boundary
论文作者
论文摘要
我们证明了弱静态谐波图的部分规律性,并在域度量中使用(部分)自由边界数据在域度量上可能退化或沿着自由边界呈单数,以从边界距离函数$ d $的速率$ d^α$。
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 $d^α$ for the distance function $d$ from the boundary.