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- Title
The Palais–Smale condition for the Hamiltonian action on a mixed regularity space of loops in cotangent bundles and applications.
- Authors
Asselle, Luca; Starostka, Maciej
- Abstract
We show that the Hamiltonian action satisfies the Palais–Smale condition over a "mixed regularity" space of loops in cotangent bundles, namely the space of loops with regularity H s , s ∈ (1 2 , 1) , in the base and H 1 - s in the fiber direction. As an application, we give a simplified proof of a theorem of Hofer–Viterbo on the existence of closed characteristic leaves for certain contact type hypersufaces in cotangent bundles.
- Subjects
EXISTENCE theorems; SPACE
- Publication
Calculus of Variations & Partial Differential Equations, 2020, Vol 59, Issue 4, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-020-01762-0