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arXiv · 2308.10116

Lipschitz continuity for harmonic functions and solutions of the $\bar{\alpha}$-Poisson equation

Miodrag Mateljević·Nikola Mutavdzić·Adel Khalfallah
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Abstract

We study Lipschitz continuity for solutions of the $\bar{\alpha}$-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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Miodrag Mateljević, Nikola Mutavdzić, Adel Khalfallah. 2023-08-19. Lipschitz continuity for harmonic functions and solutions of the $\bar{\alpha}$-Poisson equation. https://arxiv.org/abs/2308.10116

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