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

作　　者：ChouhaÏd SOUISSI 

机构地区：[1]Department of Mathematics,Faculty of Sciences of Monastir,University of Monastir,5000-Monastir,Tunisia

出　　处：《Acta Mathematica Scientia》2020年第3期614-624,共11页数学物理学报（B辑英文版）

摘　　要：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.

关 键 词：HAMILTONIAN VARIATIONAL minimal period Nehari Manifold 

分 类 号：O175[理学—数学]