4 citations · 6 across the 4 of their papers we have counts for
4 papers
Convexity of Hessian Integrals and Poincare Type Inequalities
Zuoliang Hou
In this paper, we studied integrals involving both real and complex Hessian operators over bounded domain. Poincare type inequalities were proved in both cases which generalized a…
Complex Hessian Equation on Kähler Manifold
Zuoliang Hou
In this paper, complex Hessian equation over Kähler manifold was studied. Under the condition that the underline Kähler manifold has non-negative holomorphic bisectional curvature,…
Complex Hessian Equations on Compact Kahler Manifold
Zuoliang Hou, Xi-Nan Ma, Damin Wu
This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.
Energy Functionals for the Parabolic Monge-Ampere Equation
Zuoliang Hou, Qi Li
We introduce certain energy functionals to the complex Monge-Ampere equation over a bounded domain with inhomogeneous boundary condition, and use these functionals to show the conv…