Homoclinic Solutions of Hamiltonian Systems with Symmetry

Author： Arioli G.   Szulkin A.  

Publisher： Academic Press

ISSN： 0022-0396

Source： Journal of Differential Equations, Vol.158, Iss.2, 1999-11, pp. : 291-313

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Abstract

We prove the existence of infinitely many homoclinic solutions for a first order Hamiltonian system, symmetric with respect to an action of a compact Lie group, by means of variational methods. We make no convexity assumption on the Hamiltonian. Copyright 1999 Academic Press.

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