Classical Neumann Problems for Hessian Equations and Alexandrov–Fenchel’s Inequalities

DOI10.1093/imrn/rnx296zbMath1444.35066arXiv1607.03868OpenAlexW2963647291WikidataQ125882821 ScholiaQ125882821MaRDI QIDQ5206100

Chao Xia, Guohuan Qiu

Publication date: 18 December 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03868

zbMATH Keywords

Neumann boundary condition\(k\)-Hessian equationAlexandrov-Fenchel inequality, Monge-Ampere equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Monge-Ampère equations (35J96)

Related Items (12)

Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball ⋮ The Neumann problem for degenerate Hessian quotient equations ⋮ The Neumann problem for a class of mixed complex Hessian equations ⋮ The Neumann problem for a type of fully nonlinear complex equations ⋮ Constant mean curvature surfaces and mean curvature flow with non-zero Neumann boundary conditions on strictly convex domains ⋮ The classical Neumann problem for a class of mixed Hessian equations ⋮ Interior Hessian estimates for a class of Hessian type equations ⋮ The Neumann problem for parabolic Hessian quotient equations ⋮ A volume-preserving anisotropic mean curvature type flow ⋮ Interior and boundary gradient estimates for solutions to Hessian equations satisfying Neumann boundary conditions ⋮ The Neumann problem of Hessian quotient equations ⋮ The Neumann problem for special Lagrangian equations with critical phase

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