Morse theory for asymptotically linear Hamiltonian systems
β Scribed by Alberto Abbondandolo
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 286 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
We study the existence of homoclinic orbits for first order time-dependent Hamiltonian systems z Λ=JH z (z, t), where H(z, t) depends periodically on t and H z (z, t) is asymptotically linear in z as |z| Q .. We also consider an asymptotically linear SchrΓΆdinger equation in R N .
In a recent paper, H. Amann and E. Zehnder [ 11 studied existence problems for equations of the form (1) in a real Hilbert space H. Here A is a selfadjoint linear operator and F is a potential operator, mapping H continuously into itself. It is well known that equation ( 1) is a good framework for