关于三调和函数的Weyl引理研究

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

数学季刊 ›› 2024, Vol. 39 ›› Issue (3): 288-294.doi: 10.13371/j.cnki.chin.q.j.m.2024.03.006

关于三调和函数的Weyl引理研究

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

收稿日期:2023-08-30 出版日期:2024-09-30 发布日期:2024-09-30
通讯作者: FANG Yi (1985-), male, native of Tongling, Anhui, associate professor of Anhui University of Technology, engages in partial differential equations. E-mail:flxy85@163.com
作者简介: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.
基金资助:
Supported by National Natural Science Foundation of China (Grant Nos. 11801006 and 12071489).

On the Weyl’s Lemma for Triharmonic Functions

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

Received:2023-08-30 Online:2024-09-30 Published:2024-09-30
Contact: FANG Yi (1985-), male, native of Tongling, Anhui, associate professor of Anhui University of Technology, engages in partial differential equations. E-mail:flxy85@163.com
About author: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.
Supported by:
Supported by National Natural Science Foundation of China (Grant Nos. 11801006 and 12071489).

摘要/Abstract

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

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

中图分类号:

O175.25

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.

ZHENG Run-jie, ZENG Jia-min, FANG Yi. On the Weyl’s Lemma for Triharmonic Functions[J]. Chinese Quarterly Journal of Mathematics, 2024, 39(3): 288-294.

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关于三调和函数的Weyl引理研究

On the Weyl’s Lemma for Triharmonic Functions

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