4 citations · 7 across the 17 of their papers we have counts for
20 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…
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…
Overdetermined problems for gauge balls in the Heisenberg group
Vittorio Martino, Giulio Tralli
In this paper we aim at characterizing the gauge balls in the Heisenberg group as the only domains where suitable overdetermined problems of Serrin type can be solve…
A characterization of gauge balls in by horizontal curvature
Chiara Guidi, Vittorio Martino, Giulio Tralli
In this paper we aim at identifying the level sets of the gauge norm in the Heisenberg group via the prescription of their (non-constant) horizontal mean curvature.…
Conformal Dirac-Einstein equations on manifolds with boundary
William Borrelli, Ali Maalaoui, Vittorio Martino
In this paper we study Dirac-Einstein equations on manifolds with boundary, restricted to a conformal class with constant boundary volume, under chiral bag boundary conditions for…