254 citations · 698 across the 59 of their papers we have counts for
60 papers
A characterization of homogeneous three-dimensional CR manifolds
Jih-Hsin Cheng, Andrea Malchiodi, Paul Yang
We characterize homogeneous three-dimensional CR manifolds, in particular Rossi spheres, as critical points of a certain energy functional that depends on the Webster curvature and…
On the variation of the Einstein-Hilbert action in pseudohermitian geometry
Claudio Afeltra, Jih-Hsin Cheng, Andrea Malchiodi +1
In this paper we compute the first and second variation of the normalized Einstein-Hilbert functional on CR manifolds. We characterize critical points as pseudo-Einstein structures…
Critical points of arbitrary energy for the Trudinger-Moser functional in planar domains
Andrea Malchiodi, Luca Martinazzi, Pierre-Damien Thizy
Given a smoothly bounded non-contractible domain , we prove the existence of positive critical points of the Trudinger-Moser embedding for arbitrary Dirichle…
A note on the critical Laplace Equation and Ricci curvature
Mattia Fogagnolo, Andrea Malchiodi, Lorenzo Mazzieri
We study strictly positive solutions to the critical Laplace equation \[ - Δu = n(n-2) u^{\frac{n+2}{n-2}}, \] decaying at most like , on complete noncompact ma…
Double Bubbles with High Constant Mean Curvatures in Riemannian Manifolds
Gianmichele Di Matteo, Andrea Malchiodi
We obtain existence of double bubbles of large and constant mean curvatures in Riemannian manifolds. These arise as perturbations of geodesic standard double bubbles centered at cr…
Existence and regularity for prescribed Lorentzian mean curvature hypersurfaces, and the Born-Infeld model
Jaeyoung Byeon, Norihisa Ikoma, Andrea Malchiodi +1
Given a measure on a domain , we study spacelike graphs over in Minkowski space with Lorentzian mean curvature and Dirichlet boundary condition o…