Pogorelov type estimates for a class of Hessian quotient equations

DOI10.1016/j.jde.2021.02.030zbMath1465.35205OpenAlexW3130825970MaRDI QIDQ2656244

Qiang Tu, Li Chen, Ni Xiang

Publication date: 11 March 2021

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

Full work available at URL: https://doi.org/10.1016/j.jde.2021.02.030

zbMATH Keywords

Hessian quotient equationsPogorelov type estimates

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (6)

Pogorelov type estimates for a class of Hessian quotient equations in Lorentz-Minkowski space \(\mathbb{R}_1^{n + 1} \) ⋮ The eigenvalue problem for Hessian type operator ⋮ Interior Hessian estimates for a class of Hessian type equations ⋮ Interior $C^{2}$ estimates for the Hessian quotient type equation ⋮ A class of prescribed Weingarten curvature equations for locally convex hypersurfaces with boundary in \(\mathbb{R}^{n+1}\) ⋮ Curvature estimates for a class of Hessian quotient type curvature equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Geometric plurisubharmonicity and convexity: an introduction
• Form-type equations on Kähler manifolds of nonnegative orthogonal bisectional curvature
• Dirichlet duality and the nonlinear Dirichlet problem on Riemannian manifolds
• Curvature estimates for a class of Hessian type equations
• A constant rank theorem for Hermitian \(k\)-convex solutions of complex Laplace equations
• La 1-forme de torsion d'une variété hermitienne compacte
• P-convex Riemannian manifolds
• The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
• Handlebodies and p-convexity
• Contraction of convex hypersurfaces in Euclidean space
• On the Dirichlet problem for Hessian equations
• Convexity estimates for mean curvature flow and singularities of mean convex surfaces
• Elliptic partial differential equations of second order
• Gauduchon metrics with prescribed volume form
• Uniqueness of closed self-similar solutions to \(\sigma_k^\alpha\)-curvature flow
• Fully non-linear elliptic equations on compact Hermitian manifolds
• On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
• A class of Hessian quotient equations in Euclidean space
• Form-type Calabi-Yau equations
• Hermitian metrics, \((n-1,n-1)\) forms and Monge-Ampère equations
• A class of fully nonlinear equations arising from conformal geometry
• The Monge-Ampère equation for (𝑛-1)-plurisubharmonic functions on a compact Kähler manifold
• Dirichlet duality and the nonlinear Dirichlet problem
• The k-Hessian Equation
• The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
• Fully nonlinear equations on Riemannian manifolds with negative curvature
• A variational theory of the Hessian equation
• p-convexity, p-plurisubharmonicity, and the Levi problem
• Existence, Uniqueness and Removable Singularities for Nonlinear Partial Differential Equations in Geometry
• An interior estimate for convex solutions and a rigidity theorem

This page was built for publication: Pogorelov type estimates for a class of Hessian quotient equations