Abstract
We now consider the case when the Hamiltonian H is superquadratic, that is, behaves like ∥ x ∥ α for some α > 2. The dual action ψ can no longer be minimized (it is easy to check that inf ψ = −∞), so a subtler procedure is required. It will be described in the opening section.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Ekeland, I. (1990). Fixed-Period Problems: The Superlinear Case. In: Convexity Methods in Hamiltonian Mechanics. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 19. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-74331-3_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-74331-3_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-74333-7
Online ISBN: 978-3-642-74331-3
eBook Packages: Springer Book Archive