A Dirichlet type problem for complex polyharmonic functions
Analysis of PDEs
2018-01-26 v3 Complex Variables
Abstract
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.
Cite
@article{arxiv.1610.04928,
title = {A Dirichlet type problem for complex polyharmonic functions},
author = {Hubert Grzebuła and Sławomir Michalik},
journal= {arXiv preprint arXiv:1610.04928},
year = {2018}
}
Comments
13 pages