Nikola Mutavdžić

activity

20222024

collaborators

3 papers

math.CV2024

Green function for $T_{α}$ -Laplacian in higher dimensions

M. Mateljević, N. Mutavdžić, B. Purtić

Through this article we will use a notation \begin{equation}\label{alfaLap} T_αu(x)=(1-|x|^2)Δu(x)+2 α\langle x,\nabla u(x)\rangle + (n-2-α) αu(x). \end{equation} Here, $∣ x ∣ < 1$ and…

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…

Green function for Tα​-Laplacian in higher dimensions

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

Green function for $T_{α}$ -Laplacian in higher dimensions

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