A new Morse theory and strong resonance problems (Q1423969)
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scientific article; zbMATH DE number 2052552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new Morse theory and strong resonance problems |
scientific article; zbMATH DE number 2052552 |
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A new Morse theory and strong resonance problems (English)
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8 March 2004
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In this interesting paper the author presents a Morse type theory for functions \(f\) which do not satisfy the (PS) condition at some isolated values. He also considers some multiplicity results for strong resonance problems in connection to multiple resonant energy levels. I want to mention that such a theory was first introduced by \textit{T. Bartsch} and the author [Nonlinear Anal., Theory Methods Appl. 28, No. 3, 419--441 (1997; Zbl 0872.58018)] for the local behavior of functions \(f\) near infinity.
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Morse theory
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strong resonance problems
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elliptic boundary value problems
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