Samy Skander Bahoura

We consider variational problems with regular H{ö}lderian weight or boundary singularity, and Dirichlet condition. We prove the boundedness of the volume of the solutions to these…

math.AP2022

An estimate for an elliptic equation in dimension 4

We give a uniform estimate for solutions of prescribed scalar curvature type equation in dimension 4.

math.AP2022

Bounds for the volume of the solutions to a system on the annulus

Samy Skander Bahoura

We consider an elliptic system with regular H{ö}lderian weight and exponential nonlinearity or with weight and boundary singularity, and, Dirichlet condition. We prove the boundedn…

math.AP2019

A compactness result for a system with weight and boundary singularity

Samy Skander Bahoura

We give blow-up behavior for solutions to an elliptic system with Dirichlet condition, and, weight and boundary singularity. Also, we have a compactness result for this elliptic sy…

math.AP2018

An interior boundedness result for an elliptic equation

Samy Skander Bahoura

We derive a local uniform boundedness result for an elliptic equation having interior singularity.

math.AP2018

A compactness result for solutions to an equation with boundary singularity

Samy Skander Bahoura

We give a blow-up behavior for solutions to a problem with singularity and with Dirichlet condition. An application, we have a compactness of the solutions to this Problem with sin…

math.AP2018

Uniform result for solutions of an equation with boundary singularity

Samy Skander Bahoura

We consider a variational problem with boundary singularity and Dirichlet condition. We give a blow-up analysis for sequences of solutions of an equation with exponential nonlinear…

math.AP2018

An inequality of type sup+inf on $S_{4}$ for the Paneitz operator

Samy Skander Bahoura

We give a sup+inf inequality on $S_{4}$ for Paneitz operator.

math.AP2018

A compactness result for an elliptic equation in dimension 2

Samy Skander Bahoura

We give blow-up analysis for the solutions of an elliptic equation under some conditions. Also, we derive a compactness result for this equation.

math.AP2018

A uniform estimate for an equation with Holderian condition and boundary singularity

Samy Skander Bahoura

We give a blow-up analysis and a compactness result for an equation with Holderian condition and boundary singularity.

math.AP2016★ 1 cited

An existence result

Samy Skander Bahoura

On compact Riemannian manifold of dimension n, and under some conditions on the curvature, we have changing-sign solutions for n large enough for an elliptic PDE.

math.AP2015

Harnack type inequality for an elliptic equation

Samy Skander Bahoura

We give a sup $\times$ inf inequality for an elliptic equation.

math.AP2015

A compactness result for an equation with Holderian condition

Samy Skander Bahoura, Skander Samy

We give blow-up analysis for a Brezis and Merle's problem with Dirichlet and Holderian condition. Also, we derive a compactness criterion.

math.AP2015

A compactness result for a Gelfand-Liouville system with Lipschitz condition

Samy Skander Bahoura

We give a quantization analysis to an elliptic system (Gelfand-Liouville type system) with Dirichlet condition. An application, we have a com-pactness result for an elliptic system…

math.AP2014

An estimate on riemannian manifolds of dimension 4

Samy Skander Bahoura

We give an estimate of type sup $\times$ inf on Riemannian manifold of dimension 4 for a Yamabe type equation.

math.AP2014

On the mass of the exterior blow-up points

Samy Skander Bahoura

We consider the following problem on open set $Ω$ of $R^{2}$ : $$\left \{ \begin {split} -Δu_i & = V_i e^{u_i} \,\, &\text{in} \,\, &Ω\subset {\mathbb R}^2, \\ u_i & = 0 \,\…

math.AP2014

Sup*inf inequalities for scalar curvature equation in dimension 4 and 5

Samy Skander Bahoura

We give some estimates of type sup*inf for the prescribed scalar curvature equation in dimension 4 and 5, under some condtion on the prescribed curvature.

math.AP2013