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.

中文翻译：

---

一类曲率型方程

在本文中，我们研究了一类全非线性曲率方程的可解性，可以将其视为凸几何中 Christoffel-Minkowski 问题方程的推广。我们还将研究相应退化方程的狄利克雷问题，作为 Krylov 研究的方程的扩展。