A new cohomology for the Morse theory of strongly indefinite functionals on Hilbert spaces
Keywords
generalized cohomology, Morse index, Morse relations, strongly indefinite functionalsAbstract
A generalized cohomology, similar to Szulkin's cohomology but with more general functorial properties, is constructed. This theory is used to define a relative Morse index and to prove relative Morse relations for strongly indefinite functionals on Hilbert spaces.Downloads
Published
1997-06-01
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ABBONDANDOLO, Alberto. A new cohomology for the Morse theory of strongly indefinite functionals on Hilbert spaces. Topological Methods in Nonlinear Analysis. Online. 1 June 1997. Vol. 9, no. 2, pp. 325 - 382. [Accessed 28 March 2024].
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