| THE MORSE INDEX OF A SADDLE POINT |
| |
| 作者姓名： | 刘嘉荃 |
| |
| 作者单位： | Graduate School |
| |
| 摘 要： | This paper is devoted to clarifying the relationship between the classical Morse theory andthe Mountain Pass Lemma via the local linking concept.It is shown that for a C~1-function f with alocal linking,the m-thcritical group is nontrivial,where m is the Morse index.Combined with thebehavior of f at infinity,this result can be used to offer the existence of nontrivial critical points.
|
THE MORSE INDEX OF A SADDLE POINT |
| |
| Liu Jiaquan.THE MORSE INDEX OF A SADDLE POINT[J].Journal of Systems Science and Complexity,1989(1). |
| |
| Authors: | Liu Jiaquan |
| |
| Abstract: | This paper is devoted to clarifying the relationship between the classical Morse theory and
the Mountain Pass Lemma via the local linking concept.It is shown that for a C~1-function f with a
local linking,the m-thcritical group is nontrivial,where m is the Morse index.Combined with the
behavior of f at infinity,this result can be used to offer the existence of nontrivial critical points. |
| |
| Keywords: | Saddle point Morse theory Mountain Pass Lemma local linking |
| 本文献已被 CNKI 等数据库收录！ |
