78 citations · 449 across the 34 of their papers we have counts for
4 papers · 1 filter
A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound
YanYan Li, Luc Nguyen
We prove compactness of solutions of a fully nonlinear Yamabe problem satisfying a lower Ricci curvature bound, when the manifold is not conformally diffeomorphic to the standard s…
A generalized mass involving higher order symmetric function of the curvature tensor
YanYan Li, Luc Nguyen
We define a generalized mass for asymptotically flat manifolds using some higher order symmetric function of the curvature tensor. This mass is non-negative when the manifold is lo…
Harnack inequalities and Bôcher-type theorems for conformally invariant fully nonlinear degenerate elliptic equations
YanYan Li, Luc Nguyen
We give a generalization of a theorem of Bôcher for the Laplace equation to a class of conformally invariant fully nonlinear degenerate elliptic equations. We also prove a Harnack…
On smoothness of timelike maximal cylinders in three dimensional vacuum spacetimes
Luc Nguyen, Gang Tian
We show that timelike maximal cylinders in $\RR^{1 + 2}$ always develop singularities in finite time and that, infinitesimally at a generic singularity, their time slices are evolv…