33 citations · 56 across the 27 of their papers we have counts for
32 papers
A Conformally Invariant Dirac-type Equation on Compact Spin Manifolds: the Effect of the Geometry
Ali Maalaoui, Vittorio Martino
Given a closed Riemannian Spin manifold of dimension greater or equal than four, we consider a generalized conformally invariant equation involving the Dirac operator with…
Conformal Fractional Dirac Operator and Spinorial Q-curvature
Ali Maalaoui
In this paper we introduce the conformal fractional Dirac operator and its associated fractional spinorial Yamabe problem. We also present a Caffarelli-Silvestre type extension for…
Conformally Invariant Dirac Equation with Non-Local Nonlinearity
Ali Maalaoui, Vittorio Martino, Lamine Mbarki
We study a conformally invariant equation involving the Dirac operator and a non-linearity of convolution type. This non-linearity is inspired from the conformal Einstein-Dirac pro…
Singular Solutions for the Conformal Dirac-Einstein Problem on the Sphere
Ali Maalaoui, Vittorio Martino, Tian Xu
In this paper we investigate the existence of singular solutions to the conformal Dirac-Einstein system. Because of its conformal invariance, there are many similarities with the c…
Multiplicity of singular solutions to the fractional Yamabe problem on spheres
Renato G. Bettiol, María del Mar González, Ali Maalaoui
We prove nonuniqueness results for complete metrics with constant positive fractional curvature conformal to the round metric on , using bifurcation techniques.…
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…