Dirichlet problems of harmonic functions

Boundary value problems

Pai Yang¹  Gang Xu²  Tao Zhao³ 

[1] College of Applied Mathematics, Chengdu University of Information Technology, Chengdu, P.R. China;College of Computer and Information Engineering, Henan University of Economics and Law, Zhengzhou, P.R. China;Department of Mathematics, Henan University of Economics and Law, Zhengzhou, P.R. China

关键词: Dirichlet problem;    harmonic function;    half-plane;   

DOI  :  10.1186/1687-2770-2013-262

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a solution of the Dirichlet problem in the upper half-plane isconstructed by the generalized Dirichlet integral with a fast growing continuousboundary function. MSC: 31B05, 31B10.

【 授权许可】

CC BY