# American Institute of Mathematical Sciences

June  2010, 28(2): 789-807. doi: 10.3934/dcds.2010.28.789

## A structural condition for microscopic convexity principle

 1 Department of mathematics, Tongji University, Shanghai 200092, China 2 Department of Mathematics and Statistics, McGill University, Montreal, Quebec, H3A 2K6, Canada

Received  February 2010 Revised  April 2010 Published  April 2010

The arguments in paper [2] have been refined to prove amicroscopic convexity principle for fully nonlinear ellipticequation under a more natural structure condition. We also consider the correspondingresult for the partial convexity case.
Citation: Baojun Bian, Pengfei Guan. A structural condition for microscopic convexity principle. Discrete & Continuous Dynamical Systems, 2010, 28 (2) : 789-807. doi: 10.3934/dcds.2010.28.789
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