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A Constant Rank Theorem for Hermitian $k$-Convex Solutions of Complex Laplace Equations
Fei Han, Xi-Nan Ma, and Damin Wu
Source: Methods Appl. Anal. Volume 16, Number 2 (2009), 263-290.
Abstract
Using the strong maximum principle, we obtain a constant rank theorem for the Hermitian $k$–convex solutions of complex Laplace equation.
Primary Subjects: 35J60, 58G11, 32Q15
Keywords: Hermitian $k$–convex; constant rank; complex Laplace equation; maximum principle
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Permanent link to this document: http://projecteuclid.org/euclid.maa/1257170937
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Methods and Applications of Analysis
