Homoclinics for singular strong force Lagrangian systems

DOI10.1515/anona-2020-0018zbMath1435.37092OpenAlexW2956039531MaRDI QIDQ2323116

Marek Izydorek, Joanna Janczewska, Jean Mawhin

Publication date: 30 August 2019

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2020-0018

zbMATH Keywords

rotation numberhomotopy classwinding numberhomoclinic solutionLagrangian systemstrong force

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Lagrange's equations (70H03) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (3)

The Nehari manifold method for discrete fractional \(p\)-Laplacian equations ⋮ Homoclinics for singular strong force Lagrangian systems in \(\mathbb{R}^N\) ⋮ Global existence of solution for Monge-Ampére equation with an external periodic force on 3-dimensional torus

Cites Work

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