Contents Online
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
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
Published 1 January 2009