The interior gradient estimate of prescribed Hessian quotient curvature equations

DOI10.1007/S00229-016-0877-4zbMath1380.35084OpenAlexW2505007651MaRDI QIDQ527706

Lu Xu, Chuanqiang Chen, Dekai Zhang

Publication date: 12 May 2017

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-016-0877-4

zbMATH Keywords

gradient estimateWeingarten curvature matrix

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (5)

Erratum to: ``The interior gradient estimate of prescribed Hessian quotient curvature equations ⋮ Interior Gradient Estimates for General Prescribed Curvature Equations ⋮ Unnamed Item ⋮ The interior gradient estimate of prescribed Hessian quotient curvature equation in the hyperbolic space ⋮ Gradient estimate of the solutions to Hessian equations with oblique boundary value

Cites Work

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• A priori interior gradient bounds for solutions to elliptic Weingarten equations
• Interior gradient estimates for mean curvature equations
• Interior gradient bounds for the mean curvature equation by viscosity solutions methods
• Convexity estimates for mean curvature flow and singularities of mean convex surfaces
• The interior gradient estimate of Hessian quotient equations
• The Dirichlet problem for the prescribed curvature equations
• Interior gradient estimates for solutions of certain fully nonlinear elliptic equations
• The k-Hessian Equation
• A gradient bound for entire solutions of quasi‐linear equations and its consequences
• Weak solutions of hessian equations
• A variational theory of the Hessian equation
• LOCAL GRADIENT ESTIMATES FOR QUOTIENT EQUATIONS IN CONFORMAL GEOMETRY

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