On the Weyl’s Lemma for Triharmonic Functions

Expand
  • 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.

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).


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.

Cite this article

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

Outlines

/