Lipschitz Continuity for Harmonic Functions and Solutions of the α¯-Poisson Equation

IF 1.9 3区数学 Q1 MATHEMATICS, APPLIED

Axioms Pub Date : 2023-10-23 DOI:10.3390/axioms12100998

Miodrag Mateljević, Nikola Mutavdžić, Adel Khalfallah

引用次数: 0

Abstract

In this paper we investigate the solutions of the so-called α¯-Poisson equation in the complex plane. In particular, we will give sufficient conditions for Lipschitz continuity of such solutions. We also review some recently obtained results. As a corollary, we can restate results for harmonic and (p,q)-harmonic functions.

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调和函数的Lipschitz连续性及α¯-Poisson方程的解

本文研究了复平面上α¯-泊松方程的解。特别地，我们将给出这类解的Lipschitz连续性的充分条件。我们还回顾了一些最近取得的成果。作为推论，我们可以重述调和函数和(p,q)-调和函数的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Axioms Mathematics-Algebra and Number Theory

自引率

10.00%

发文量

604

审稿时长

11 weeks

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