ScholarLens Back to search
2013•Complex Variables and Elliptic EquationsRequires access

Lppolyharmonic Dirichlet problems in regular domains III: The unit ball

Zhihua Du, Tao Qian, Jinxun Wang

Open publisher page 9 citations

Abstract

In this article, we consider a class of Dirichlet problems with boundary data for polyharmonic functions in the unit ball. By introducing a sequence of new kernel functions for the unit ball, which are called higher order Poisson kernels, we give the integral representation solutions of the problems.

About this research paper

What this paper is about

In this article, we consider a class of Dirichlet problems with boundary data for polyharmonic functions in the unit ball. By introducing a sequence of new kernel functions for the unit ball, which are called higher order Poisson kernels, we give the integral representation solutions of the problems.

Why it matters

OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this article, we consider a class of Dirichlet problems with boundary data for polyharmonic functions in the unit ball. By introducing a sequence of new kernel functions for the unit ball, which are called higher order Poisson kernels, we give the integral representation solutions of the problems.

Key concepts: Mathematics, Unit sphere, Poisson kernel, Ball (mathematics), Dirichlet boundary condition, Mathematical analysis, Dirichlet distribution, Dirichlet problem

Related papers

Related paper 1Related paper 2
Back to paper searchBrowse research topicsOriginal source
Lppolyharmonic Dirichlet problems in regular domains III: The unit ball — Research Paper | ScholarLens