For a family of smooth functions defined in multi-dimensional space,we show that,under certain generic conditions,all minimal and maximal points are non-degenerate.
For a family of smooth functions, the author shows that, under certain generic conditions, all extremal(minimal and maximal) points are non-degenerate.
基金supported by National Basic Research Program of China(973 Program)(Grant No.2013CB834100)National Natural Science Foundation of China(Grant Nos.11171146 and 11201222)the Priority Academic Program Development of Jiangsu Higher Education Institutions
文摘For a family of smooth functions defined in multi-dimensional space,we show that,under certain generic conditions,all minimal and maximal points are non-degenerate.
基金supported by the National Natural Science Foundation of China(Nos.11201222,11171146)the Basic Research Program of Jiangsu Province(No.BK2008013)a program of the Priority Academic Program Development of Jiangsu Province
文摘For a family of smooth functions, the author shows that, under certain generic conditions, all extremal(minimal and maximal) points are non-degenerate.