Multibump solutions for a class of Lagrangian systems slowly oscillating at infinity

DOI10.1016/S0294-1449(99)80009-2zbMath0919.34044OpenAlexW1980388454MaRDI QIDQ1284044

Francesca Alessio, Piero Montecchiari

Publication date: 25 August 1999

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1999__16_1_107_0

zbMATH Keywords

Hamiltonian systemshomoclinic orbitsLagrangian systemsmultibump solutionsminimax arguments

Mathematics Subject Classification ID

Hamilton's equations (70H05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Dynamical systems with hyperbolic behavior (37D99)

Related Items (6)

Unnamed Item ⋮ Genericity of the multibump dynamics for almost periodic Duffing-like systems ⋮ Interacting near-solutions of a Hamiltonian system ⋮ High frequency solutions for the singularly-perturbed one-dimensional nonlinear Schrödinger equation ⋮ Solution set splitting at low energy levels in Schrödinger equations with periodic and symmetric potential ⋮ An elliptic equation with no monotonicity condition on the nonlinearity

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