3 papers
math.AP2026
Second order estimates for equations with sums of Hessian operators on Hermitian manifolds
Weisong Dong, Ruijia Zhang
In this paper, we establish an a priori second-order estimate for admissible solutions satisfying a dynamic plurisubharmonic condition to equations involving sums of Hessian operat…
math.AP2026
A Liouville-type theorem for -Monge-Ampère equation in dimension three
Weisong Dong
We prove that every entire solution with quadratic growth, lying in a suitable cone, to the 2-Monge-Ampère equation on is a quadratic polynomial. The proof proceeds…
math.AP2025
Boundary estimates for a fully nonlinear Yamabe problem on Riemannian manifolds
Weisong Dong, Yanyan Li, Luc Nguyen
In this paper, we consider the Dirichlet boundary value problem for fully nonlinear Yamabe equations on Riemannian manifolds with boundary. Assuming the existence of a subsolution,…