On homoclinic orbits for a class of noncoercive superquadratic Hamiltonian systems
โ Scribed by Mohsen Timoumi
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 235 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
Some existence theorems for even homoclinic orbits are obtained for a class of second-order nonautonomous Hamiltonian systems with symmetric potentials under a class of new superquadratic conditions. A homoclinic orbit is obtained as a limit of solutions of a certain sequence of nil-boundary-value p
## RN \_ S ยช R has a unique strict global maximum at a point p g R N and a singular Under some compactness conditions on V at 1 infinity and around the singular set S we study the existence of homoclinic orbits to p which link with S. When V and G satisfy suitable geometrical conditions, we can p