6 citations · 10 across the 5 of their papers we have counts for
5 papers
Yamabe Flow with prescribed scalar curvature
Inas Amacha, Rachid Regbaoui
In this work, we study the Yamabe flow corresponding to the prescribed scalar curvature problem on compact Riemannian manifolds with negative scalar curvature. The long time existe…
Compactness Properties for Geometric Fourth order Elliptic equations with Application to the Q-curvature Flow
Ali Fardoun, Rachid Regbaoui
We prove the compactness of solutions to general fourth order elliptic equations which are L^1-perturbations of the Q-curvature equation on compact Riemannian 4-maniods. Consequent…
Evolution of starshaped hypersurfaces by general curvature functions
Ali Fardoun, Rachid Regbaoui
We consider the evolution of starshaped hypersurfaces in the Euclidean space by general curvature functions. Under appropriate conditions on the curvature function, we prove the gl…
Q-curvature Flow for GJMS Operators with Non-trivial Kernel
Ali Fardoun, Rachid Regbaoui
We investigate the prescribed Q-curvature flow for GJMS operators with non-trivial kernel on compact manifolds of even dimension. When the total Q-curvature is negative, we identif…
Regularity and Uniqueness of p-harmonic Maps with Small Range
Ali Fardoun, Rachid Regbaoui
We prove the uniqueness of solutions to Dirichlet problem for p-harmonic maps with images in a small geodesic ball of the target manifold. As a consequence, we show that such maps…