GROUND STATE ROTATING PERIODIC SOLUTIONS FOR SECOND-ORDER HAMILTONIAN SYSTEMS WITH “PINCHED” CONDITION

This paper aims to investigate the existence of ground state rotating periodic solutions for second-order Hamiltonian systems. The rotating periodic solution may be periodic, anti-periodic, subharmonic or quasi periodic based on the forms of the orthogonal matrix. By using Nehari manifold and perturbation method, we obtain existence results under the nondecreasing monotone assumption and “pinched” condition. Our results extend some existing relevant work.