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

页码：216 / 229

页数：14

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