A class of curvature type equations

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.

33 pages. References added

References in corpus (2)

• Fu-Yau Hessian Equations
• The curvature estimates for convex solutions of some fully nonlinear Hessian type equations

Cited by in corpus (4)

• Fu-Yau Hessian Equations
• A class of prescribed Weingarten curvature equations in Euclidean space
• Fully nonlinear equations of Krylov type on Riemannian manifolds with negative curvature
• Second order estimates for a class of complex Hessian equations on Hermitian manifolds