The exterior Dirichlet problem for the homogeneous complex k-Hessian equation

In this article, we consider the homogeneous complex kk-Hessian equation in an exterior domain Cn⧹Ω{{\mathbb{C}}}^{n}\setminus \Omega . We prove the existence and uniqueness of the C1,1{C}^{1,1} solution by constructing approximating solutions. The key point for us is to establish the uniform gradie...

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Bibliographic Details
Main Authors: Gao Zhenghuan, Ma Xinan, Zhang Dekai
Format: Article
Language:English
Published: De Gruyter 2023-01-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2022-0039