Nikola Mutavdžić

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math.CV2023

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

Miodrag Mateljević, Nikola Mutavdzić, Adel Khalfallah

We study Lipschitz continuity for solutions of the $α ˉ$ -Poisson equation in planar cases. We also review some recently obtained results. As corolary we can restate results for h…

math.CV2022

On Lipschitz continuity and smoothness up to the boundary of solutions of hyperbolic Poisson's equation

Miodrag Mateljević, Nikola Mutavdžić

We solve the Dirichlet problem $u ∣_{B^{n}} = φ,$ for hyperbolic Poisson's equation $Δ_{h} u = μ$ where $φ \in L_{1} (\partial B^{n})$ and $μ$ is a measure that sati…

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

On Lipschitz continuity and smoothness up to the boundary of solutions of hyperbolic Poisson's equation

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