Article citationsMore>>

Cao, S. and Qiu, H. (2020) Boundary Value Problems for Harmonic Functions on Domains in Sierpinski Gaskets. Communications on Pure & Applied Analysis, 19, 1147-1179.
https://doi.org/10.3934/cpaa.2020054

has been cited by the following article:

• TITLE: Properties of Harmonic Functions on Koch Curve

  AUTHORS: Guangjun Yang, Ping Wang

  KEYWORDS: Koch Curve, Harmonic Functions, Quaternary Derivatives

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.14 No.2, February 5, 2026

  ABSTRACT: Recently, we discussed the properties of harmonic functions on the Sierpinski gasket (SG) and proved the Holder derivative of the harmonic functions. In this paper, based on the quaternary expressions of the Koch curve, another very important fractal, we will construct harmonic functions on the fractal and discuss some properties of the derivative of the harmonic functions. The main result is that first quaternary derivative is found to be constant.