Existence of ground state solution for the first order discrete Hamiltonian systems

DOI10.1016/J.AML.2021.107113zbMath1490.39003OpenAlexW3132387923WikidataQ114210586 ScholiaQ114210586MaRDI QIDQ2022278

Guoan Guo, Peng Chen, Li Meng

Publication date: 28 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107113

zbMATH Keywords

ground state solutionfirst-order discrete Hamiltonian systemsnon-Nehari manifold approach

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)

Cites Work

• Non-Nehari manifold method for periodic discrete superlinear Schrödinger equation
• Ground states and geometrically distinct solutions for periodic Choquard-Pekar equations
• Multiple periodic solutions for discrete Hamiltonian systems
• Disconjugacy for linear Hamiltonian difference systems
• Disconjugacy, disfocality, and oscillation of second order difference equations
• Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems.
• Homoclinic orbits of a Hamiltonian system
• Linear Hamiltonian difference systems: Disconjugacy and Jacobi-type conditions
• Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms
• Ground state solutions of Nehari-Pankov type for Schrödinger equations with local super-quadratic conditions
• Homoclinic orbits and subharmonics for nonlinear second order difference equations
• Deformation theorems on non-metrizable vector spaces and applications to critical point theory

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