A second order estimate for general complex Hessian equations
By Duong H. Phong, Sebastien Picard, Xiangwen Zhang. 2015
57 citations recorded by the source corpus.
We derive a priori $C^2$ estimates for the $\chi$-plurisubharmonic solutions of general complex Hessian equations with right-hand side depending on gradients.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/abf8babb98298bc7ffc2d8a7da5b6112866a29bd
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Sebastien Picard
- Duong H. Phong
- Xiangwen Zhang
- Zhizhang Wang
- Changyu Ren
- Dat T. To
- B. Weinkove
- Valentino Tosatti
In Geometry and Topology
- Zhizhang Wang
- Changyu Ren
- Duong H. Phong
- Xiangwen Zhang
- Sebastien Picard
- Dat T. To
- B. Weinkove
- Valentino Tosatti
In Mathematical Physics
- Duong H. Phong
- Zhizhang Wang
- Changyu Ren
- Xiangwen Zhang
- Sebastien Picard
- Dat T. To
- T. Mabuchi
- G'abor Sz'ekelyhidi
Citations in the corpus
- Fu–Yau Hessian equations (2018, methodology): “24), it was shown in [21] that the estimate ∫”
- Fully non-linear parabolic equations on compact Hermitian manifolds (2017, background): “Other adaptations to C(2) estimates can be found in [51], [32], [34], [67].”
- The global curvature estimate for the n-2 Hessian equation (2020, methodology): “Phong-Picard-Zhang [36, 37] has considered Fu-Yau equation in high dimensional spaces, which is a complex 2- Hessian equation with the right hand side function depending on the gradient term.”