Galerkin's method, monotonicity and linking for indefinite Hamiltonian systems with bounded potential energy

DOI10.1007/S00526-004-0297-2zbMath1065.37042OpenAlexW2010528841MaRDI QIDQ1776815

D. J. Crispin, John F. Toland

Publication date: 12 May 2005

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-004-0297-2

zbMATH Keywords

periodic orbitsHamiltonian systemscombination of Galerkin's method and linking theory with monotonicity

Mathematics Subject Classification ID

Related Items (1)

Closed characteristics on non-compact hypersurfaces in \(\mathbb {R}^{2n}\)

Cites Work

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• Uniqueness and a priori bounds for certain homoclinic orbits of a Boussinesq system modelling solitary water waves
• Homoclinic, heteroclinic, and periodic orbits for a class of indefinite Hamiltonian systems
• The existence of surfaces of constant mean curvature with free boundaries
• Periodic solutions for a class of Lorenz-Lagrangian systems
• Brake periodic orbits of a prescribed Hamiltonian for indefinite Lagrangian systems
• On sets of critical values in the real line
• A plethora of solitary gravity-capillary water waves with nearly critical Bond and Froude numbers
• Critical points and nonlinear variational problems
• Bounded Palais-Smale mountain-pass sequences
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Periodic and homoclinic orbits for Lorentz-Lagranian systems via variational methods
• The measure of the critical values of differentiable maps
• Existence of steady vortex rings in an ideal fluid

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