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2003 A new Morse theory and strong resonance problems
Shujie Li
Topol. Methods Nonlinear Anal. 21(1): 81-100 (2003).


Is it possible to establish a new Morse theory if the function $f$ losses the (PS) condition at some isolated values? Yes, it is! In this paper we will recall a such a theory. One of the purposes of establishing such a theory is to consider multiplicity results for strong resonance problems and to deal with multiple resonant energy levels. Both of these questions were not studied much in the past because of the limitation of methods. Using the new Morse theory we can deal with these problems.


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Shujie Li. "A new Morse theory and strong resonance problems." Topol. Methods Nonlinear Anal. 21 (1) 81 - 100, 2003.


Published: 2003
First available in Project Euclid: 30 September 2016

zbMATH: 1053.58005
MathSciNet: MR1980137

Rights: Copyright © 2003 Juliusz P. Schauder Centre for Nonlinear Studies


Vol.21 • No. 1 • 2003
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