Tintarev, Kyril2019-11-222019-11-221999-09-09Tintarev, K. (1999). Solutions to elliptic systems of Hamiltonian type in RN. <i>Electronic Journal of Differential Equations, 1999</i>(29), pp. 1-11.1072-6691https://hdl.handle.net/10877/8879The 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.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalCocentration compactnessElliptic systemsPseudogradientArticle