48 citations · 178 across the 30 of their papers we have counts for
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regularity of degenerate complex Monge-Ampère equations and some applications
Jianchun Chu
In this paper, we prove a estimate for solutions of complex Monge-Ampère equations on compact almost Hermitian manifolds. Using this estimate, we show existence…
regularity of geodesics in the space of volume forms
Jianchun Chu
We prove a estimate for solutions of a class of fully nonlinear equations introduced by Chen-He. As an application, we prove the regularity of geodesics in the…
The Fu-Yau equation on compact astheno-Kähler manifolds
Jianchun Chu, Liding Huang, Xiaohua Zhu
In this paper, we study the Fu-Yau equation on compact Hermitian manifolds and prove the existence of solutions of equation on astheno-Kähler manifolds. We also prove the uniquenes…
The Fu-Yau equation in higher dimensions
Jianchun Chu, Liding Huang, Xiaohua Zhu
In this paper, we prove the existence of solutions to the Fu-Yau equation on compact Kähler manifolds. As an application, we give a class of non-trivial solutions of the modified S…