The interior gradient estimate of Hessian quotient equations

DOI10.1016/j.jde.2015.02.035zbMath1318.35029OpenAlexW2066959726MaRDI QIDQ2343527

Chuanqiang Chen

Publication date: 6 May 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2015.02.035

zbMATH Keywords

\(k\)-admissible solutionHessian quotient equationinterior gradient estimate

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items

The Neumann Problem for a Class of Fully Nonlinear Elliptic Partial Differential Equations ⋮ The extreme solutions for a σ‐Hessian equation with a nonlinear operator ⋮ The Neumann problem for parabolic Hessian quotient equations ⋮ The interior gradient estimate of prescribed Hessian quotient curvature equations ⋮ The interior gradient estimate of prescribed Hessian quotient curvature equation in the hyperbolic space ⋮ Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations ⋮ Interior and boundary gradient estimates for solutions to Hessian equations satisfying Neumann boundary conditions ⋮ The Neumann problem of Hessian quotient equations ⋮ Gradient estimate of the solutions to Hessian equations with oblique boundary value

Cites Work

• Convexity estimates for mean curvature flow and singularities of mean convex surfaces
• Interior gradient estimates for solutions of certain fully nonlinear elliptic equations
• The k-Hessian Equation
• 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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