Abstract
We consider functionals on Hilbert spaces and establish the relationship between convexity of H and conditions of Palais—Smale type. This is further extended to functionals with H exhibiting convex behavior “at infinity” and to Hamiltonian systems with Hamiltonians having such a property.
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Ioffe, A., Schwartzman, E. (2002). Convexity at Infinity and Palais-Smale Conditions. Application to Hamiltonian Systems. In: Benci, V., Cerami, G., Degiovanni, M., Fortunato, D., Giannoni, F., Micheletti, A.M. (eds) Variational and Topological Methods in the Study of Nonlinear Phenomena. Progress in Nonlinear Differential Equations and Their Applications, vol 49. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0081-9_3
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DOI: https://doi.org/10.1007/978-1-4612-0081-9_3
Publisher Name: Birkhäuser, Boston, MA
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Online ISBN: 978-1-4612-0081-9
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