M. Charabati

activity

20142020

collaborators

4 papers

math.CV2020

The Continuous Subsolution Problem for Complex Hessian Equations

Mohamad Charabati, Ahmed Zeriahi

Let $Ω \subset C^{n}$ be a bounded strictly $m$ -pseudoconvex domain ( $1 \leq m \leq n$ ) and $μ$ a positive Borel measure on $Ω$ . We study the Dirichlet problem for the complex H…

math.CV2015

Regularity of solutions to the Dirichlet problem for Monge-Ampère equations

Mohamad Charabati

We study Hölder continuity of solutions to the Dirichlet problem for measures having density in $L^{p}$ , $p > 1$ , with respect to Hausdorff-Riesz measures of order $2 n - 2 + ε$ for $0<ε\le…

math.CV2014

Hölder regularity for solutions to complex Monge-Ampère equations

Mohamad Charabati

We consider the Dirichlet problem for the complex Monge-Ampère equation in a bounded strongly hyperconvex Lipschitz domain in $\C^n$. We first give a sharp estimate on the modulus…

math.CV2014

Modulus of continuity of solutions to complex Hessian equations

Mohamad Charabati

We give a sharp estimate of the modulus of continuity of the solution to the Dirichlet problem for the complex Hessian equation of order $m$ ( $1 \leq m \leq n$ ) with a continuous r…