Periodic And Subharmonic Solution Of A Class Of Hamiltonian Systems And Nontrivail Solutions Of Elliptic Boundary Value Problems

In this paper, for the first order Hamiltonian systemsand the second order Hamiltonian systemswith the aids of variational methods, some existence results are obtained for subharmonic solution of local coercive sublinear Hamiltonian systems (HSl) and periodic solution of nonquadratic Hamiltonian systems (HS2). What's more, consider elliptic boundary value problemwhere is a bounded domain whose boundary is a smooth manifold. Under the superquadratic conditionsome nontrivial solutions are obtained for a class of elliptic equation () with the same methods.