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May  2017, 16(3): 945-952. doi: 10.3934/cpaa.2017045

## Non-collapsing for a fully nonlinear inverse curvature flow

 1 Department of Mathematics, Beijing Technology and Business University, Beijing 100048, China 2 School of Science, Beijing University of Posts and Telecommunication, Beijing, 100876, China

* Corresponding author

Received  August 2016 Revised  January 2017 Published  February 2017

Fund Project: The first author is supported by NSFC grant (11201011), NSF of Beijing grant (1132002,1172005). The second author is supported by NSFC grant (11301034,11401527,11471050)

In this paper, we study a fully nonlinear inverse curvature flow in Euclidean space, and prove a non-collapsing property for this flow using maximum principle. Precisely, we show that upon some conditions on speed function, the curvature of the largest touching interior ball is bounded by a multiple of the speed.

Citation: Yannan Liu, Hongjie Ju. Non-collapsing for a fully nonlinear inverse curvature flow. Communications on Pure & Applied Analysis, 2017, 16 (3) : 945-952. doi: 10.3934/cpaa.2017045
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