Methods and Applications of Analysis

Volume 16 (2009)

Number 2

A Constant Rank Theorem for Hermitian $k$-Convex Solutions of Complex Laplace Equations

Pages: 263 – 290

DOI: https://dx.doi.org/10.4310/MAA.2009.v16.n2.a5

Authors

Fei Han

Xi-Nan Ma

Damin Wu

Abstract

Using the strong maximum principle, we obtain a constant rank theorem for the Hermitian $k$-convex solutions of complex Laplace equation.

Keywords

Hermitian $k$-convex, constant rank, complex Laplace equation, maximum principle

2010 Mathematics Subject Classification

32Q15, 35J60

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Published 1 January 2009