We prove the existence of periodic solutions in a second order differential system with a
singular potential of attractive or repulsive type and forced periodically. The proof is based …

We look for critical points with prescribed energy for the family of even functionals
$\Phi_\mu= I_1-\mu I_2 $, where $ I_1, I_2 $ are $ C^ 1$ functionals on a Banach space $ X …

In this paper, for any given positive masses we prove that the constrained variational
minimization solutions of the fixed energy or fixed mean potential energy problem for the 3 …

Using the equivariant Ljusternik–Schnirelmann theory and the estimates of the upper bound
and lower bound of the critical values for the variational functional, we obtain results in …

THIS PAPER deals with a twofold extension of the classical deformation lemma in the
calculus of variations to the setting of (infinite-dimensional) manifolds with boundary. To …

In this review I shall consider the perturbed N-body system, ie, a system composed of N
point bodies of masses m 1,… m N, described in cartesian coordinates x_1,... x_N,\, x_k ∈ …

Non Collision Periodic Solution of Fixed Energy for a Symmetric N-Body Type Problems Page
213 202 NON-COLLISION PERIODIC SOLUTIONS OF FIXED ENERGY FOR A SYMMETRIC …

Abstract top In this paper, we apply a variant of the famous Mountain Pass Lemmas of
Ambrosetti-Rabinowitz ([5]) and Ambrosetti-Coti Zelati ([2]) with (CPS) c type condition of …

We prove the existence of periodic motions of prescribed energy E or period T for an
autonomous Hamiltonian system consisting of a lattice of N particles with one fixed endpoint …

Non-simultaneous Collision Periodic Solutions for N-Body Problems Page 1 Ž . JOURNAL OF
MATHEMATICAL ANALYSIS AND APPLICATIONS 212, 343348 1997 ARTICLE NO. AY975503 …