Lipschitz continuity for harmonic functions and solutions of the α-Poisson equation

2023/08/19 by Miodrag Mateljević, Mateljević, Miodrag, Nikola Mutavdžić +2
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.2308.10116

openalex publication_date 2023/08/19 · openalex created_date 2023/08/23 · openalex updated_date 2026/07/28

Abstract

We study Lipschitz continuity for solutions of the α-Poisson equation in planar cases. We also review some recently obtained results. As corolary we can restate results for harmonic and gradient harmonic functions.

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