33 citations · 56 across the 27 of their papers we have counts for
13 papers · 1 filter
Constructions of Delaunay-type solutions for the spinorial Yamabe equation on spheres
Ali Maalaoui, Yannick Sire, Tian Xu
In this paper we construct singular solutions to the critical Dirac equation on spheres. More precisely, first we construct solutions admitting two points singularities that we cal…
Function Spaces via Fractional Poisson Kernel on Carnot Groups and Applications
Ali Maalaoui, Andrea Pinamonti, Gareth Speight
We provide a new characterization of homogeneous Besov and Sobolev spaces in Carnot groups using the fractional heat kernel and Poisson kernel. We apply our results to study commut…
Some properties of Dirac-Einstein bubbles
William Borrelli, Ali Maalaoui
We prove smoothness and provide the asymptotic behavior at infinity of solutions of Dirac-Einstein equations on , which appear in the bubbling analysis of conformal D…
Existence results for the conformal Dirac-Einstein system
Chiara Guidi, Ali Maalaoui, Vittorio Martino
In this paper we consider the coupled system given by the first variation of the conformal Dirac-Einstein functional. We will show existence of solutions by means of perturbation m…
Palais-Smale sequences for the fractional CR Yamabe functional and multiplicity results
Chiara Guidi, Ali Maalaoui, Vittorio Martino
In this paper we consider the functional whose critical points are solutions of the fractional CR Yamabe type equation on the sphere. We firstly study the behavior of the Palais-Sm…
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…