For a given T > 0, we prove, under the global ARS-condition and using the Nehari manifold method, the existence of a T-periodic solution having the W-symmetry introduced in[21], for the hamiltonian system
z+ V'(z)=0, z ∈ RN, N ∈ N*.
Moreover, such a solution is shown to have T as a minimal period without relaying to any index theory. A multiplicity result is also proved under the same condition.
Chouha?d SOUISSI
. MINIMAL PERIOD SYMMETRIC SOLUTIONS FOR SOME HAMILTONIAN SYSTEMS VIA THE NEHARI MANIFOLD METHOD[J]. Acta mathematica scientia, Series B, 2020
, 40(3)
: 614
-624
.
DOI: 10.1007/s10473-020-0302-7
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