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On homoclinic orbits for a class of noncoercive superquadratic Hamiltonian systems

โœ 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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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

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## 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