Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems

Fadell, Edward; Rabinowitz, Paul H.

doi:10.1007/bf01390270

Cited by 330 publications

(253 citation statements)

References 26 publications

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“…The Hilbert spaces E and E' are isometric, through v k ' restricted to [0,11). Through this identification, the functional K gives rise to a functional…”

Section: It Satisfies the Following Estimates (Compare Withmentioning

confidence: 99%

On the Number of Periodic Trajectories for a Hamiltonian Flow on a Convex Energy Surface

Ekeland¹,

Lasry²

1980

The Annals of Mathematics

140

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“…The Hilbert spaces E and E' are isometric, through v k ' restricted to [0,11). Through this identification, the functional K gives rise to a functional…”

Section: It Satisfies the Following Estimates (Compare Withmentioning

confidence: 99%

On the Number of Periodic Trajectories for a Hamiltonian Flow on a Convex Energy Surface

Ekeland¹,

Lasry²

1980

The Annals of Mathematics

140

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“…Remarkably, Rabinowitz [54] has shown that Theorem B holds even if assumption (i) is dropped. The proof, again via a minimax argument, is based on a cohomological index theory developed by Fadell and Rabinowitz [29]. Furthermore, there exist solutions of (13) with given period T and having arbitrarily large L°° norms.…”

Section: /6mentioning

confidence: 98%

Variational and topological methods in nonlinear problems

Nirenberg¹

1981

Bull. Amer. Math. Soc.

162

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“…We leave the details to interested readers. [30], [46]). We leave the statements of the results to the readers.…”

Section: Pairs Of Critical Points In X \ (P ∪ −P ) With Positive Critmentioning

confidence: 99%

Ljusternik-Schnirelman theory in partially ordered Hilbert spaces

Li¹,

Wang²

2002

Trans. Amer. Math. Soc.

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Generalized cohomological index theories for Lie group actions with an application to bifurcation questions for Hamiltonian systems

Cited by 330 publications

References 26 publications

On the Number of Periodic Trajectories for a Hamiltonian Flow on a Convex Energy Surface

On the Number of Periodic Trajectories for a Hamiltonian Flow on a Convex Energy Surface

Variational and topological methods in nonlinear problems

Ljusternik-Schnirelman theory in partially ordered Hilbert spaces

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