A Dirichlet type problem for complex polyharmonic functions

被引：3
|
作者：
Grzebula, H. [1 ]
Michalik, S. [1 ]
机构：
[1] Cardinal Stefan Wyszynski Univ, Fac Math & Nat Sci, Coll Sci, Woycickiego 1-3, PL-01938 Warsaw, Poland
来源：
ACTA MATHEMATICA HUNGARICA | 2017年 / 153卷 / 01期
关键词：
Dirichlet problem; polyharmonic function; Almansi expansion; Lie ball; 31B30; 32A25; 32A50; 35J40;
D O I：
10.1007/s10474-017-0740-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We extend holomorphically polyharmonic functions on a real ball to a complex set being the union of rotated balls. We solve a Dirichlet type problem for complex polyharmonic functions with the boundary condition given on the union of rotated spheres.
引用
收藏
页码：216 / 229
页数：14
相关论文
共 50 条
12345