Non-degeneracy of Extremal Points

Citation:

Min ZHOU.Non-degeneracy of Extremal Points[J].Chinese Annals of Mathematics B,2015,36(1):45~50
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Authors:

Min ZHOU;

Foundation:

supported by the National Natural Science Foundation of China (Nos. 11201222, 11171146), the Basic Research Program of Jiangsu Province (No. BK2008013) and a program of the Priority Academic Program Development of Jiangsu Province.
Abstract: For a family of smooth functions, the author shows that, under certain generic conditions, all extremal (minimal and maximal) points are non-degenerate.

Keywords:

Non-degeneracy, Extremal point, Generic condition

Classification:

37D05, 58E05
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