A. Meziani

activity

20092022

most citedA Generalized CR equation with isolated singularities

3 citations · 3 across the 8 of their papers we have counts for

collaborators

8 papers

math.AP2022

A Lojasiewicz Inequality in Hypocomplex Structures of $R^{2}$

Abdelhamid Meziani

For a real analytic complex vector field $L$ in an open set of $R^{2}$ , with local first integrals that are open maps, we attach a number $μ \geq 1$ (obtained through Lojasiew…

math.AP2021

Infinitesimal Bendings for Classes of Two Dimensional Surfaces

B. de Lessa Victor, Abdelhamid Meziani

Infinitesimal bendings for classes of two-dimensional surfaces in $R^{3}$ are investigated. The techniques used to construct the bending fields include reduction to solvabil…

math.AP2021★ 3 cited

A Generalized CR equation with isolated singularities

B. de Lessa Victor, Adbelhamid Meziani

The generalized CR equation $u_{z ˉ} = a u + b u ˉ + f$ is studied when the coefficients $a$ and $b$ have a finite number of singular points inside the domain. Solutions are constr…

math.AP2019

Class of hypocomplex structures on the two dimensional torus

Abdelhamid Meziani, Giuliano Zugliani

We study the Hölder solvability of a class of complex vector fields on the torus $T^{2}$ . We make use of the Theta function to associate a Cauchy-Pompeiu type integral opera…

math.AP2012

The Riemann-Hilbert problem for elliptic vector fields with degeneracies

A. Ainouz, K. Boutarene, A. Meziani

The Riemann-Hilbert boundary value problem is studied for a class of planar complex vector fields $L$ in a simply connected open set $\Om\subset\R^2$. The first integrals of $L$ ar…