Neumann problem for overdetermined system related with almost complex structure
type: Item
instance of: scholarly article
title: Neumann problem for overdetermined system related with almost complex structure
zbMATH Open document ID: 0786.32017
author: Jinhao Zhang
published in: Science in China. Series A
publication date: 1993-01-17T00:00:00Z
review text: The author considers an overdetermined system of differential equations which is a generalization of both the Cauchy-Riemann equations and the Beltrami equation. In other words the author considers the Neumann problem for the operator \[ \mu \overline\partial=\overline\partial-\mu^ k \wedge \partial_ K \] \[ \text{where } \mu^ K= \mu^ K_ j d \overline z^ j,\;\partial_ K={\partial \over \partial z^ K};\;z^ K \in \mathbb{C}^ n. \] The author proves for example that the domain on which the problem can be solved can be transformed to a strongly pseudoconvex domain by a one-to-one \(\mu\)-holomorphic mapping.
Mathematics Subject Classification ID: 32W05
Mathematics Subject Classification ID: 35N15
zbMATH DE Number: 98073
zbMATH Keywords: complex structure
zbMATH Keywords: pseudoconvexity
zbMATH Keywords: Neumann problem
reviewed by: Rodolfo Salvi
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 98073