1 citations · 1 across the 12 of their papers we have counts for
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Quantitative homogenization of Monge-Ampère equations in periodic media
Tianling Jin, YanYan Li, Hung V. Tran +1
Let and be the convex solutions of \[ \det D^2u^\varepsilon=F(x,x/\varepsilon),\qquad \det D^2u=\overline F(x) \] on a bounded convex domain , with the same…
Optimal regularity and fine asymptotics for very fast diffusion equations in bounded domains
Tianling Jin, Xushan Tu, Jingang Xiong +1
We prove the optimal global regularity of admissible solutions to a transformed very fast diffusion equation in the range , posed on smooth bounded domains with zero Dirich…
Schauder estimates for the linearized very fast diffusion equations in bounded domains
Tianling Jin, Xushan Tu, Jingang Xiong +1
We establish Schauder estimates for linearized very fast diffusion equations with Dirichlet boundary conditions in bounded smooth domains. These estimates provide an important ingr…
Regularity for convex viscosity solutions of Equation
Ruosi Chen, Huaiyu Jian, Xushan Tu +1
We prove interior regularity result for convex viscosity solutions of the quadratic Hessian equation , under the assumption that with $\inf…
Sharp global Alexandrov estimates and entire solutions of Monge-Ampère equations
Tianling Jin, Xushan Tu, Jingang Xiong
This paper continues our work [19] on sharp Alexandrov estimates. We obtain a sharp global uniform distance estimate from a convex function to the class of unimodular convex quadra…
Extremal Alexandrov estimates: singularities, obstacles, and stability
Tianling Jin, Xushan Tu, Jingang Xiong
The classical Alexandrov estimate controls the oscillation of a convex function by the mass of its associated Monge-Ampère measure and yields, for two convex functions of varia…