Periodic solutions of an infinite-dimensional Hamiltonian system
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摘要
We consider the existence of periodic solutions of the unbounded Hamiltonian system(H)∂tu-Δxu=Hv(t,x,u,v)-∂tv-Δxv=Hu(t,x,u,v)for(t,x)∈R×Ω.Unlike previous work, in our case the energy functional does not satisfy the Palais-Smale conditions.
论文关键词：Local linking,Periodic solution,Variational method
论文评审过程：Available online 5 December 2007.
论文官网地址：https://doi.org/10.1016/j.amc.2007.11.047
