15 citations · 33 across the 23 of their papers we have counts for
23 papers
C^0 estimates for Hessian quotient equations on HKT manifolds
Li Chen
We show the estimate for solutions to Hessian quotient equations on hyperKähler with torsion manifolds without any additional assumption on its hypercomplex structure by a cl…
Pascal algebra of matrices and Pascal map on jet bundles
Li Chen
We identify and study a matrix algebra consisting of Pascal-type matrices. The generator of the matrix algebra is shown to well define a canonical bundle map, called the Pascal map…
Hessian equations of Krylov type on Kähler manifolds
Li Chen
In this paper, we consider Hessian equations with its structure as a combination of elementary symmetric functions on closed Kähler manifolds. We provide a sufficient and necessary…
The regularity problem for degenerate elliptic operators in weighted spaces
Pascal Auscher, Li Chen, José María Martell +1
We study the solvability of the regularity problem for degenerate elliptic operators in the block case for data in weighted spaces. More precisely, let be a degenerate ellipt…
Smooth solutions to the Gauss image problem
Li Chen, Di Wu, Ni Xiang
In this paper we study the the Gauss image problem, which is a generalization of the Aleksandrov problem in convex geometry. By considering a geometric flow involving Gauss curvatu…
Horo-convex hypersurfaces with prescribed shifted Gauss curvatures in
Li Chen, Kang Xiao, Qiang Tu
In this paper, we consider prescribed shifted Gauss curvature equations for horo-convex hypersurfaces in . Under some sufficient condition, we obtain an existence…