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.
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© 1990 Springer-Verlag Berlin Heidelberg
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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
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DOI: https://doi.org/10.1007/978-3-642-74331-3_4
Publisher Name: Springer, Berlin, Heidelberg
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