Interior gradient estimates for solutions of certain fully nonlinear elliptic equations
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Publication:2644845
DOI10.1016/0022-0396(91)90166-7zbMath0724.35020OpenAlexW1977110131MaRDI QIDQ2644845
Publication date: 1991
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(91)90166-7
Related Items (22)
The first initial-boundary value problem for Hessian equations of parabolic type on Riemannian manifolds ⋮ The Neumann problem for a class of mixed complex Hessian equations ⋮ The interior gradient estimate for some nonlinear curvature equations ⋮ The classical Neumann problem for a class of mixed Hessian equations ⋮ Interior Hessian estimates for a class of Hessian type equations ⋮ Curvature estimates for \(p\)-convex hypersurfaces of prescribed curvature ⋮ Interior Gradient Estimates for General Prescribed Curvature Equations ⋮ Unnamed Item ⋮ The Neumann problem for parabolic Hessian quotient equations ⋮ The Dirichlet problem for Hessian type elliptic equations on Riemannian manifolds ⋮ The first initial-boundary value problem for fully nonlinear parabolic equations generated by functions of the eigenvalues of the Hessian ⋮ The interior gradient estimate of prescribed Hessian quotient curvature equations ⋮ Interior curvature bounds for a class of curvature equations ⋮ Gradient estimates for semi-linear elliptic equations with prescribed contact angle problem ⋮ The interior gradient estimate of prescribed Hessian quotient curvature equation in the hyperbolic space ⋮ Inclusion relations of Gårding's cones and \(k\)-convex cones ⋮ Interior and boundary gradient estimates for solutions to Hessian equations satisfying Neumann boundary conditions ⋮ Green functions for a class of nonlinear degenerate operators with X-ellipticity ⋮ The Neumann problem of Hessian quotient equations ⋮ Curvature estimates for convex solutions of some fully nonlinear Hessian-type equations ⋮ The interior gradient estimate of Hessian quotient equations ⋮ Gradient estimates of mean curvature equations with semi-linear oblique boundary value problems
Cites Work
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- Perturbation theory for linear operators.
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
- The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
- The dirichlet problem for nonlinear second-order elliptic equations. II. Complex monge-ampère, and uniformaly elliptic, equations
- Nonlinear second-order elliptic equations V. The dirichlet problem for weingarten hypersurfaces
- Elliptic Partial Differential Equations of Second Order
- Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II
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