On a constant rank theorem for nonlinear elliptic PDEs

DOI10.3934/dcds.2016081zbMath1360.35067arXiv1509.07168OpenAlexW2962842177MaRDI QIDQ325263

Ben Weinkove, Gábor Székelyhidi

Publication date: 18 October 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07168

zbMATH Keywords

eigenvaluesnonlinear elliptic equationsconstant rank Hessian

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Second-order elliptic equations (35J15)

Related Items (12)

On the maximal rank problem for the complex homogeneous Monge-Ampère equation ⋮ Constant rank theorems for curvature problems via a viscosity approach ⋮ Weak Harnack Inequalities for Eigenvalues and the Monotonicity of Hessian's Rank ⋮ Power convexity of solutions to a special Lagrangian equation in dimension two ⋮ Weak Harnack inequalities for eigenvalues and a constant rank theorem for level sets ⋮ A note on the deformed Hermitian Yang-Mills PDE ⋮ On Space-Time Quasiconcave Solutions of the Heat Equation ⋮ The Dirichlet problem for the complex homogeneous Monge-Ampère equation ⋮ Strong space-time convexity and the heat equation ⋮ Convexity of level sets and a two-point function ⋮ Weak Harnack inequalities for eigenvalues and constant rank theorems ⋮ A quantitative constant rank theorem for quasiconcave solutions to fully nonlinear elliptic equations

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