arXiv subjects

Jinling Niu

Publications and source records attributed to Jinling Niu.

2 recordsLinked to original sources

arXiv2024

The Dirichlet problem for Monge-Ampère type equations on Riemannian manifolds

In this paper, we study the Dirichlet problem for Monge-Ampère type equations for $p$-plurisubharmonic functions on Riemannian manifolds. The $a$ $priori$ estimates up to the second order derivatives of solutions are established. The existence of a solution then follows by the continuity method.

math.AP↗

arXiv2018

Estimates for Lϕ-Lipschitz and Lϕ-BMO Norms of Differential Forms

In this paper, we define the Lϕ-Lipschitz norm and Lϕ-BMO norm of differential forms using Young functions, and prove the comparison theorems for the homotopy operator T on differential forms with Lϕ-Lipschitz and Lϕ-BMO norms. As applications, we give the Lϕ-BMO norm estimate for conjugate A-harmonic tensors and the weighted Lϕ-Lipschitz norm estimate for the homotopy operator T.

math.FA↗