277 citations · 752 across the 50 of their papers we have counts for
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Solutions of some Monge-Ampère equations with isolated and line singularities
Tianling Jin, Jingang Xiong
In this paper, we study existence, regularity, classification, and asymptotical behaviors of solutions of some Monge-Ampère equations with isolated and line singularities. We class…
A Liouville theorem for solutions of degenerate Monge-Ampère equations
Tianling Jin, Jingang Xiong
In this paper, we give a new proof of a celebrated theorem of Jörgens which states that every classical convex solution of \[ \det\nabla^2 u (x)=1\quad {in} \mathbb{R}^2 \] has to…
Sharp constants in weighted trace inequalities on Riemannian manifolds
Tianling Jin, Jingang Xiong
We establish some sharp weighted trace inequalities $W^{1,2}(ρ^{1-2σ}, M)\hookrightarrow L^{\frac{2n}{n-2σ}}(\pa M)$ on dimensional compact smooth manifolds with smooth bound…
Gradient estimates for parabolic and elliptic systems from linear laminates
Hongjie Dong
We establish several gradient estimates for second-order divergence type parabolic and elliptic systems. The coefficients and data are assumed to be Hölder or Dini continuous in th…