Existence of homoclinic orbits in discrete Hamiltonian systems without Palais–Smale condition

DOI10.1080/10236198.2013.777716zbMath1287.39004OpenAlexW2073193495MaRDI QIDQ2868937

Peng Chen

Publication date: 27 December 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2013.777716

zbMATH Keywords

mountain pass theoremhomoclinic solutionsdiscrete Hamiltonian systemsdiscrete Lieb's lemma

Mathematics Subject Classification ID

Hamilton's equations (70H05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

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