A class of curvature type equations
arXiv:1909.03645
Abstract
In this paper, we study the solvability of a general class of fully nonlinear curvature equations, which can be viewed as generalizations of the equations for Christoffel-Minkowski problem in convex geometry. We will also study the Dirichlet problem of the corresponding degenerate equations as an extension of the equations studied by Krylov.
arXiv comment33 pages. References added
References in corpus (5)
- (1,1) forms with specified Lagrangian phase: A priori estimates and algebraic obstructions
- Moment maps, nonlinear PDE, and stability in mirror symmetry
- Fu-Yau Hessian Equations
- The curvature estimates for convex solutions of some fully nonlinear Hessian type equations
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Cited by in corpus (7)
- Fu-Yau Hessian Equations
- Constant rank theorems for curvature problems via a viscosity approach
- Neumann problem for a class of fully nonlinear equations
- Fully nonlinear equations of Krylov type on Riemannian manifolds with negative curvature
- A class of prescribed Weingarten curvature equations in Euclidean space
- Second order estimates for a class of complex Hessian equations on Hermitian manifolds
- Prescribed Weingarten curvature equations in warped product manifolds