Multiplicity Of Homoclinic Orbits In Quasi-Linear Autonomous Lagrangian Systems

Buffoni, Boris; Landry, Laurent

doi:10.3934/dcds.2010.27.75

2010

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Abstract

The existence of at least two homoclinic orbits is proved by A. Ambrosetti and V. Coti Zelati (Multiple homoclinic orbits for a class of conservative systems, Rend. Sem. Mat. Univ. Padova, 89 (1993), 177-194) for autonomous Lagrangian systems

Details

Title Multiplicity Of Homoclinic Orbits In Quasi-Linear Autonomous Lagrangian Systems

Author(s) Buffoni, Boris ; Landry, Laurent

Published in Discrete And Continuous Dynamical Systems

Volume 27

Pages 75-116

Date 2010

ISSN 1078-0947

Keywords

Homoclinic orbits; Lagrangian systems; variational methods; critical-point theory; minimax method; Concentration-Compactness Principle; Water-Waves; Minimization; Existence; Calculus

DOI https://doi.org/10.3934/dcds.2010.27.75

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Laboratories CAA

Record Appears in Scientific production and competences > SB - School of Basic Sciences > SB Archives > CAA - Chair of Mathematical Analysis and Applications
Scientific production and competences > SB - School of Basic Sciences > Mathematics
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Record creation date 2011-12-16