Abstract
Two sequences of distinct periodic solutions for second-order Hamiltonian systems with sublinear nonlinearity are obtained by using the minimax methods. One sequence of solutions is local minimum points of functional, and the other is minimax type critical points of functional. We do not assume any symmetry condition on nonlinearity.
Highlights
The proof of this lemma is similar to the following lemma
The case that Pm is a convex closed subset of HT1 implies that u∗m ∈ Pm.As φ is weakly lower semicontinuous, we have μm lim φ uk k→∞
Summary
Many Periodic Solutions for Nonautonomous Sublinear Second-Order Hamiltonian Systems. Two sequences of distinct periodic solutions for second-order Hamiltonian systems with sublinear nonlinearity are obtained by using the minimax methods. One sequence of solutions is local minimum points of functional, and the other is minimax type critical points of functional. We do not assume any symmetry condition on nonlinearity
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