A constant rank theorem for Hermitian \(k\)-convex solutions of complex Laplace equations

DOI10.4310/MAA.2009.v16.n2.a5zbMath1192.58011OpenAlexW2042488690MaRDI QIDQ1046460

Fei Han, Damin Wu, Xi-Nan Ma

Publication date: 22 December 2009

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.maa/1257170937

zbMATH Keywords

maximum principleconstant rankcomplex Laplace equationHermitian \(k\)-convex

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

The eigenvalue problem for Hessian type operator ⋮ On a constant rank theorem for nonlinear elliptic PDEs ⋮ Pogorelov type estimates for a class of Hessian quotient equations ⋮ The Monge-Ampère equation for (𝑛-1)-plurisubharmonic functions on a compact Kähler manifold ⋮ Weak Harnack inequalities for eigenvalues and constant rank theorems

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