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 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.