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THE MORSE INDEX OF A SADDLE POINT

刘嘉荃

1989系统科学与复杂性:英文版Mathematics被引 112

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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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