MINIMAL PERIOD SYMMETRIC SOLUTIONS FOR SOME HAMILTONIAN SYSTEMS VIA THE NEHARI MANIFOLD METHOD

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 ∈ (R)N,N ∈ N*.Moreover,such a solution is shown to have T as a minimal period...

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Published in数学物理学报（英文版） Vol. 40; no. 3; pp. 614 - 624
Main Author Chouha(i)d SOUISSI
Format Journal Article
LanguageEnglish
Published Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir,5000-Monastir, Tunisia 01.05.2020
Subjects
variational
minimal period
Nehari Manifold
Hamiltonian
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Summary: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 ∈ (R)N,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.
ISSN:0252-9602
1572-9087
DOI:10.1007/s10473-020-0302-7