A structural condition for microscopic convexity principle

Baojun Bian; Pengfei Guan

doi:10.3934/dcds.2010.28.789

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2010, Volume 28, Issue 2: 789-807. Doi: 10.3934/dcds.2010.28.789 open access

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A structural condition for microscopic convexity principle

Baojun Bian^1, and
Pengfei Guan^2,

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

Received: January 31, 2010

Revised: March 31, 2010

Published: June 2010

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Abstract

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.

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Mathematics Subject Classification: Primary: 35K10, 35B99.

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