Chinese Quarterly Journal of Mathematics ›› 2024, Vol. 39 ›› Issue (3): 288-294.doi: 10.13371/j.cnki.chin.q.j.m.2024.03.006

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On the Weyl’s Lemma for Triharmonic Functions

  

  1. 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).

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

CLC Number: