Jiaogen Zhang

collaborators

3 papers

math.DG2025

Fully nonlinear prescribed curvature problems on closed manifolds with negative curvature

Jiaogen Zhang

In this manuscript, we investigate fully nonlinear prescribed curvature problems for the modified Schouten tensor on closed Riemannian manifolds with negative curvature. We prove t…

math.AP2025

The Dirichlet eigenvalue problems for some concave elliptic Hessian operators

Jiaogen Zhang

In this manuscript, we investigate a priori estimates for the solution to the Dirichlet eigenvalue problem for a broad class of concave elliptic Hessian operators of the form \[ F(…

math.DG2025

Garding cones and positivity of curvature operators

Teng Huang, Jiaogen Zhang

This article explores the relationship between Garding cones, demonstrating that the shift cone $I^_{2}^{+} (I^\pm)$ is contained in $P_{m}$ . By combining…