Regularity of degenerate k-Hessian equations on closed Hermitian manifolds

In this article, we are concerned with the existence of weak C1,1{C}^{1,1} solution of the kk-Hessian equation on a closed Hermitian manifold under the optimal assumption of the function in the right-hand side of the equation. The key points are to show the weak C1,1{C}^{1,1} estimates. We prove a C...

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Bibliographic Details
Main Author: Zhang Dekai
Format: Article
Language:English
Published: De Gruyter 2022-10-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2022-0025