A new application of boundary integral behaviors of harmonic functions to the least harmonic majorant

Minghua Han; Jianguo Sun; Gaoying Xue

doi:10.1186/s13661-017-0798-5

Boundary Value Problems (May 2017)

A new application of boundary integral behaviors of harmonic functions to the least harmonic majorant

Minghua Han,
Jianguo Sun,
Gaoying Xue

Affiliations

Minghua Han: College of Mathematics and Econometrics, Hunan University
Jianguo Sun: Department of Computer Science and Technology, Harbin Engineering University
Gaoying Xue: School of Mechanical Engineering, Taizhou University

DOI: https://doi.org/10.1186/s13661-017-0798-5
Journal volume & issue: Vol. 2017, no. 1
pp. 1 – 9

Abstract

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Abstract Our main aim in this paper is to obtain a new type of boundary integral behaviors of harmonic functions in a smooth cone. As an application, the least harmonic majorant of a nonnegative subharmonic function is also given.

Published in Boundary Value Problems

ISSN: 1687-2762 (Print); 1687-2770 (Online)
Publisher: SpringerOpen
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics: Analysis
Website: http://www.boundaryvalueproblems.com/

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