THE MORSE INDEX OF A SADDLE POINT
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.
引用本文(GB/T 7714)
刘嘉荃. THE MORSE INDEX OF A SADDLE POINT[J]. 系统科学与复杂性:英文版, 1989.
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