Parabolic Orbits for a Class of Singular Hamiltonian Systems with a Fixed Energy

Abstract

The existence of parabolic orbits is obtained for a class of singular Hamiltonian systems $\ddot{u}(t)+\nabla V(u(t))=0$ by taking limit for a sequence of non-collision periodic solutions which are obtained by Mountain Pass Lemma.

This paper has been withdrawn by the author due to a crucial sign error in proof of Lemma 5.2