Multiple Homoclinics for a Class of Singular Hamiltonian Systems

✍ Scribed by Paolo Caldiroli; Colette De Coster

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 256 KB
• Volume: 211
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.1997.5474

✦ Synopsis

RN

_ S ª 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 prove the existence of multiple homoclinics, each one belonging to a different homotopy class of G.