The multiplicity of periodic solutions for Hamiltonian systems with a local superquadratic condition
The multiplicity of periodic solutions for a class of second-order Hamiltonian systems with local superquadratic conditions is studied via the Symmetric Mountain Pass Lemma.Infinitely many critical points of the energy functional of the system are obtained.Under this local superquadratic condition,it is demonstrated that the second-order Hamiltonian system has infinitely many periodic solutions.
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