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math.AP2022
The Dirichlet problem for Monge-Ampère type equations on Hermitian manifolds
Weisong Dong
In this paper, we solve the Dirichlet problem for Monge-Ampère type equations for -plurisubharmonic functions on Hermitian manifolds.
math.AP2022
The Dirichlet problem for prescribed curvature equations of -convex hypersurfaces
Weisong Dong
In this paper, we study the Dirichlet problem for -convex hypersurfaces with prescribed curvature. We prove that there exists a graphic hypersurface satisfying the prescribed cu…