Periodic and solitary travelling waves in infinite lattices without Ambrosetti-Rabinowitz condition

DOI10.1007/s10884-014-9387-9zbMath1339.37080OpenAlexW2026662208MaRDI QIDQ300360

Shiwang Ma, Xu Zhang

Publication date: 27 June 2016

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-014-9387-9

zbMATH Keywords

travelling wavesperiodic and solitarysuperquadratic

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Solitary waves in solid mechanics (74J35) Lattice dynamics; integrable lattice equations (37K60) Ordinary lattice differential equations (34A33)

Cites Work

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• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit

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