6 citations · 9 across the 5 of their papers we have counts for
6 papers
On the stability of the equator map for higher order energy functionals
Ali Fardoun, Stefano Montaldo, Andrea Ratto
Let and denote the Euclidean -dimensional unit ball and sphere respectively. The \textit{extrinsic -ener…
Quadratic Cyclic Sequences
Paul Baird, Ai Fardoun, Zeina Ghazo Hanna
We explore relations between cyclic sequences determined by a quadratic difference relation, cyclotomic polynomials, Eulerian digraphs and walks in the plane. These walks correspon…
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…