Publisher's Synopsis
This research note gives a comprehensive account of the use of variational methods in the study of Hamiltonian systems and elliptic equations.;The book provides recent results in Hamiltonian systems which can be applied to study some problems in celestial mechanics.;Recent results in symplectic geometry and geodesies on Lorentz manifolds are also presented.;In the theory of semilinear elliptic equations some authors present new results that point out important corrections between topology and analysis.