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A minimax method for a class of Hamiltonian systems with singular potentials

โœ Scribed by Abbas Bahri; Paul H Rabinowitz


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
708 KB
Volume
82
Category
Article
ISSN
0022-1236

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We consider an autonomous Hamiltonian system u +{V(u)=0 where the potential V : R 2 "[!] ร„ R has a strict global maximum at the origin and a singularity at some point !{0. Under some compactness conditions on V at infinity and around the singularity ! we study the existence of homoclinic orbits to 0