%0 Journal Article %T Existence and multiplicity of solutions to strongly indefinite Hamiltonian system involving critical Hardy-Sobolev exponents %A Francisco Odair De Paiva %A Rodrigo da Silva Rodrigues %J Electronic Journal of Differential Equations %D 2013 %I Texas State University %X In this article, we study the existence and multiplicity of nontrivial solutions for a class of Hamiltoniam systems with weights and nonlinearity involving the Hardy-Sobolev exponents. Results are proved using variational methods for strongly indefinite functionals. %K Hamiltonian systems %K strongly indefinite variational structure %K critical Hard-Sobolev exponents %U http://ejde.math.txstate.edu/Volumes/2013/69/abstr.html