English

A class of curvature type equations

Analysis of PDEs 2019-09-25 v2 Differential Geometry

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.

Keywords

Cite

@article{arxiv.1909.03645,
  title  = {A class of curvature type equations},
  author = {Pengfei Guan and Xiangwen Zhang},
  journal= {arXiv preprint arXiv:1909.03645},
  year   = {2019}
}

Comments

33 pages. References added

R2 v1 2026-06-23T11:09:19.275Z