New maximum principles for fully nonlinear ODEs of second order

Wenmin Sun; Jiguang Bao

doi:10.3934/dcds.2007.19.813

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2007, Volume 19, Issue 4: 813-823. Doi: 10.3934/dcds.2007.19.813

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New maximum principles for fully nonlinear ODEs of second order

Wenmin Sun^1, and
Jiguang Bao^2,

1.
Biochemical Engineering College, Beijing Union University, Beijing 100023
2.
School of Mathematical Sciences, Beijing Normal University, Beijing 100875

Received: December 31, 2006

Revised: March 31, 2007

Published: September 2007

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Abstract

In the paper, we give the positive answer of an open problem of Li-Nirenberg under the weaker conditions, and we prove a new variation of the boundary point lemma for second order fully nonlinear ODEs by a new method. A simpler proof of Li-Nirenberg Theorem is also presented.

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Mathematics Subject Classification: Primary: 35B50, 34L30; Secondary: 35B05, 34A34.

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