Solutions to Elliptic Systems of Hamiltonian Type in RN
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The paper proves existence of a solution for elliptic systems of Hamiltonian type on RN by a variational method. We use the Benci-Rabinowitz technique, which cannot be applied here directly for lack of compactness. However, a concentration compactness technique allows us to construct a finite-dimensional pseudogradient that restores the Benci-Rabinowitz method to power also for problems on unbounded domains.