Work

A class of curvature type equations

Year: 2019

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1909.03645

Authors: Guan, Pengfei, Zhang, Xiangwen

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Natural Sciences and Engineering Research Council of Canada

Award: Fully Nonlinear Geometric Partial Differential Equations

OpenAlex ID: W2972002309

Cites: 40

Cited by: 12

Related to: 10