Work

Harnack inequality for the negative power Gaussian curvature flow

Year: 2011

Type: article

Abstract: In this paper, we study the power of Gaussian curvature flow of a compact convex hypersurface and establish its Harnack inequality when the power is negative. In the Harnack inequality, we require that the absolute value of the power is strictly positive and strictly less than the inverse of the dimension of the hypersurface.

Source: Proceedings of the American Mathematical Society

DOI: 10.1090/s0002-9939-2011-11039-6

Author: Yi Li

Institution: Harvard University

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W2593005994

FWCI: 1.053

Cites: 13

Cited by: 10

Related to: 10