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math.DG2024★ 1 cited
Estimates for complex singular Monge-Ampère equations via integral method
Yunqing Wu, Kai Zheng
In this paper, we obtain gradient estimates and Laplacian estimates for the solution to the singular complex Monge-Ampère equation by applying the integral method.
math.DG2024
Prescribing positive curvature with conical singularities on
Jingyi Chen, Yuxiang Li, Yunqing Wu
For conformal metrics with conical singularities and positive curvature on , we prove a convergence theorem and apply it to obtain a criterion for nonexistence in an o…
math.DG2024
Prescribing negative curvature with cusps and conical singularities on compact surface
Jingyi Chen, Yuxiang Li, Yunqing Wu
On a compact surface, we prove existence and uniqueness of the conformal metric whose curvature is prescribed by a negative function away from finitely many points where the metric…