  Using a homologically link theorem in variational theory and iteration
inequalities of Maslov-type index, we show the existence of a sequence of
subharmonic solutions of non-autonomous Hamiltonian systems with the
Hamiltonian functions satisfying some anisotropic growth conditions, i.e., the
Hamiltonian functions may have simultaneously, in different components,
superquadratic, subquadratic and quadratic behaviors. Moreover, we also
consider the minimal period problem of some autonomous Hamiltonian systems with
anisotropic growth.
