Non-degeneracy of extremal points in multi-dimensional space  

作　　者：CHENG ChongQing ZHOU Min 

机构地区：[1]Department of Mathematics,Nanjing University [2]School of Information Management,Nanjing University

出　　处：《Science China Mathematics》2015年第11期2255-2260,共6页中国科学：数学（英文版）

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

摘　　要：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 defined in multi-dimensional space, we show that, under certain generic conditions, all minimal and maximal points are non-degenerate.

关 键 词：NON-DEGENERACY multi-dimensionM space smooth functions minimal and maximal points 

分 类 号：O177[理学—数学]