33 citations · 56 across the 27 of their papers we have counts for
4 papers · 2 filters
A Note on Commutators of the Fractional Sub-Laplacian on Carnot Groups
Ali Maalaoui
In this manuscript, we provide a point-wise estimate for the -commutators involving fractional powers of the sub-Laplacian on Carnot groups of homogeneous dimension . This ca…
Super-Symmetric Coupling: Existence and Multiplicity
Ali Maalaoui
In this paper we provide a method to study critical points of strongly indefinite functionals on vector bundles. We focus mainly on energy functionals coupled with a fermionic part…
Characterization of the Palais-Smale sequences for the conformal Dirac-Einstein problem and applications
Ali Maalaoui, Vittorio Martino
In this paper we study the Palais-Smale sequences of the conformal Dirac-Einstein problem. After we characterize the bubbling phenomena, we prove an Aubin type result leading to th…
Norm Constants in cases of the Caffarelli-Kohn-Nirenberg inequality
Akshay L. Chanillo, Sagun Chanillo, Ali Maalaoui
By methods based on elementary Linear Algebra we obtain sharp constants in cases of the Caffarelli-Kohn-Nirenberg inequality via quasi-conformal changes of variables. Some of our r…