调和函数的Lipschitz连续性及α¯-Poisson方程的解

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

摘要

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

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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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

期刊介绍： Axiomatic theories in physics and in mathematics (for example, axiomatic theory of thermodynamics, and also either the axiomatic classical set theory or the axiomatic fuzzy set theory) Axiomatization, axiomatic methods, theorems, mathematical proofs Algebraic structures, field theory, group theory, topology, vector spaces Mathematical analysis Mathematical physics Mathematical logic, and non-classical logics, such as fuzzy logic, modal logic, non-monotonic logic. etc. Classical and fuzzy set theories Number theory Systems theory Classical measures, fuzzy measures, representation theory, and probability theory Graph theory Information theory Entropy Symmetry Differential equations and dynamical systems Relativity and quantum theories Mathematical chemistry Automata theory Mathematical problems of artificial intelligence Complex networks from a mathematical viewpoint Reasoning under uncertainty Interdisciplinary applications of mathematical theory.