277 citations · 895 across the 70 of their papers we have counts for
5 papers · 1 filter
Comparison principles and Lipschitz regularity for some nonlinear degenerate elliptic equations
YanYan Li, Luc Nguyen, Bo Wang
We establish interior Lipschitz regularity for continuous viscosity solutions of fully nonlinear, conformally invariant, degenerate elliptic equations. As a by-product of our metho…
Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. I. One singularity
Li Li, YanYan Li, Xukai Yan
We classify all homogeneous axisymmetric no swirl solutions of incompressible stationary Navier-Stokes equations in three dimension which are smooth on the unit sphere minus…
On the regularity of solutions to divergence form elliptic systems with Dini-continuous coefficients
YanYan Li
We prove regularity of solutions to divergence form elliptic systems with Dini-continuous coefficients
Symmetry, quantitative Liouville theorems and analysis of large solutions of conformally invariant fully nonlinear elliptic equations
Yanyan Li, Luc Nguyen
We establish blow-up profiles for any blowing-up sequence of solutions of general conformally invariant fully nonlinear elliptic equations on Euclidean domains. We prove that (i) t…
Gradient estimates for solutions of the Lamé system with partially infinite coefficients in dimensions greater than two
JiGuang Bao, HaiGang Li, YanYan Li
We establish upper bounds on the blow-up rate of the gradients of solutions of the Lamé system with partially infinite coefficients in dimensions greater than two as the distance b…