Abstract
Using the Szulkin's variant of Mountain Pass Theorem, we prove the existence of nontrivial orbits with prescribed period for autonomous Hamiltonian systems in infinite dimen-sional Hilbert spaces.
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DINCĂ, G., Pasca, D. Periodic Solutions of Superlinear Convex Autonomous Hamiltonian Systems. Journal of Global Optimization 17, 65–75 (2000). https://doi.org/10.1023/A:1026517918326
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DOI: https://doi.org/10.1023/A:1026517918326