关于三调和函数的Weyl引理研究

郑润洁, 曾佳敏, 方益

doi:10.13371/j.cnki.chin.q.j.m.2024.03.006

数学季刊 >

2024 , Vol. 39 >Issue 3: 288 - 294

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2024.03.006

关于三调和函数的Weyl引理研究

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Department of Mathematics, Anhui University of Technology, Ma’anshan 243002, China

ZHENG Run-jie (1999-), female, native of Huangshan, Anhui, master student of Anhui University of Technology, engages in partial differential equations; ZENG Jia-min (1998-), female, native of Chengdu, Sichuan, master student of Anhui University of Technology, engages in partial differential equations; FANG Yi (1985-), male, native of Tongling, Anhui, associate professor of Anhui University of Technology, engages in partial differential equations.

收稿日期: 2023-08-30

网络出版日期: 2024-09-30

基金资助

Supported by National Natural Science Foundation of China (Grant Nos. 11801006 and 12071489).

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On the Weyl’s Lemma for Triharmonic Functions

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Department of Mathematics, Anhui University of Technology, Ma’anshan 243002, China

Received date: 2023-08-30

Online published: 2024-09-30

Supported by

Supported by National Natural Science Foundation of China (Grant Nos. 11801006 and 12071489).

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摘要

In this paper, by choosing some appropriate test functions, we prove the Weyl’s lemma for triharmonic functions based on the new type of mean value formulas.

关键词： Weyl’s lemma; Harmonic functions; Triharmonic functions; Test functions; Mean value formulas

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郑润洁, 曾佳敏, 方益 . 关于三调和函数的Weyl引理研究[J]. 数学季刊, 2024 , 39(3) : 288 -294 . DOI: 10.13371/j.cnki.chin.q.j.m.2024.03.006

Abstract

In this paper, by choosing some appropriate test functions, we prove the Weyl’s lemma for triharmonic functions based on the new type of mean value formulas.

Key words： Weyl’s lemma; Harmonic functions; Triharmonic functions; Test functions; Mean value formulas

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