The Neumann problem for a type of fully nonlinear complex equations

TL;DR

This paper investigates the Neumann boundary value problem for a class of fully nonlinear second order elliptic PDEs in complex domains, extending understanding without requiring curvature conditions.

Contribution

It introduces new methods to analyze the Neumann problem for fully nonlinear complex equations on general domains without curvature restrictions.

Findings

Established existence and regularity results for the Neumann problem

Developed techniques applicable to complex fully nonlinear PDEs

Extended previous work to more general domain settings

Abstract

In this paper we study the Neumann problem for a type of fully nonlinear second order elliptic partial differential equations on domains in $\mathbb{C}^{n}$ without any curvature assumptions on the domain.