13 citations · 21 across the 22 of their papers we have counts for
5 papers · 2 filters
Łojasiewicz--Simon inequalities near bubbling configurations for the Yamabe functional on bounded domains
Tianling Jin, Jingang Xiong, Ning Zhou
We establish Łojasiewicz--Simon type gradient inequalities for the Yamabe functional on bounded smooth domains near configurations consisting of finitely many concentrating bubbles…
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…
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…