277 citations · 895 across the 70 of their papers we have counts for
5 papers · 2 filters
A Liouville theorem for Möbius invariant equations
YanYan Li, Han Lu, Siyuan Lu
In this paper we classify Möbius invariant differential operators of second order in two dimensional Euclidean space, and establish a Liouville type theorem for general Möbius inva…
Asymptotic stability of Landau solutions to Navier-Stokes system under -perturbations
Yanyan Li, Jingjing Zhang, Ting Zhang
In this paper, we show that Landau solutions to the Navier-Stokes system are asymptotically stable under -perturbations. We give the local well-posedness of solutions to the p…
On the -Nirenberg problem
YanYan Li, Luc Nguyen, Bo Wang
We consider the problem of prescribing the -curvature on the standard sphere with . We prove existence and compactness theorems when . Thi…
Solutions to the -Loewner-Nirenberg problem on annuli are locally Lipschitz and not differentiable
Yanyan Li, Luc Nguyen
We show for that the locally Lipschitz viscosity solution to the -Loewner-Nirenberg problem on a given annulus is in…
Existence and uniqueness of Green's functions to nonlinear Yamabe problems
YanYan Li, Luc Nguyen
For a given finite subset of a compact Riemannian manifold whose Schouten curvature tensor belongs to a given cone, we establish a necessary and sufficient condition fo…