Nonlinear problems with strong resonance at infinity: an abstract theorem and applications

DOI10.1017/S0308210500014359zbMath0572.47041MaRDI QIDQ3689744

Alberto Capozzi, Addolorata Salvatore

Publication date: 1985

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemssemilinear wave equationscomparison between the spectrum of the operator linearized at the origin and the spectrum of the operator linearized at infinity

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Periodic solutions to ordinary differential equations (34C25) Periodic solutions to PDEs (35B10) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items

Periodic solutions of dynamical systems with bounded potential, Problems at resonance for equations with periodic nonlinearities., Remarks on subharmonic oscillations of a semilinear wave equation, Periodic solutions of asymptotically linear systems without symmetry

Cites Work

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• Periodic solutions of asymptotically linear Hamiltonian systems