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Multitransition solutions for a generalized Frenkel-Kontorova model
2020
Discrete and Continuous Dynamical Systems. Series A
We study a generalized Frenkel-Kontorova model. Using minimal and Birkhoff solutions as building blocks, we construct a lot of homoclinic solutions and heteroclinic solutions for this generalized Frenkel-Kontorova model under gap conditions. These new solutions are not minimal and Birkhoff any more. We use constrained minimization method to prove our results. 2020 Mathematics Subject Classification. 70G75, 74G22, 74G35. By Lemma 2.2, Adding the above two inequalities and letting q → ∞, we get
doi:10.3934/dcds.2020273
fatcat:gklmj3unkjbu3iuwwwzp4reyui