Pogorelov type estimates for a class of Hessian quotient equations in Lorentz-Minkowski space \(\mathbb{R}_1^{n + 1} \)
DOI10.1016/J.JDE.2022.04.026zbMath1490.35151arXiv2201.08644OpenAlexW4225123253MaRDI QIDQ2137839
Yating Zhao, Jing Mao, Chen-Yang Liu
Publication date: 11 May 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.08644
a priori estimatesDirichlet conditionLorentz-Minkowski spaceHessian quotient equations\(k\)-convex solutions
Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)
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Cites Work
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- 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
- La 1-forme de torsion d'une variété hermitienne compacte
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- 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
- Fully non-linear elliptic equations on compact Hermitian manifolds
- On the Dirichlet problems for symmetric function equations of the eigenvalues of the complex Hessian
- 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 Dirichlet problem for the prescribed curvature equations
- Pogorelov type estimates for a class of Hessian quotient equations
- 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
- On some inequalities for elementary symmetric functions
- A variational theory of the Hessian equation
- Existence, Uniqueness and Removable Singularities for Nonlinear Partial Differential Equations in Geometry
- An interior estimate for convex solutions and a rigidity theorem
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