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New maximum principles for fully nonlinear ODEs of second order

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


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