Lipschitz Continuity for Harmonic Functions and Solutions of the α¯-Poisson Equation-Reference-Cited by-同舟云学术

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

Published:2023-10-23 Issue:10 Volume:12 Page:998
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Mateljević Miodrag¹,Mutavdžić Nikola²^ORCID,Khalfallah Adel³

Affiliation:

1. Serbian Academy of Science and Arts, Kneza Mihaila 35, 11000 Belgrade, Serbia

2. Mathematical Institute SANU, Kneza Mihaila 36, 11000 Belgrade, Serbia

3. Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

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.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/10/998/pdf

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