Multiplicity of homoclinic solutions for second order Hamiltonian systems with local conditions at the origin

DOI10.1007/S10114-022-0626-4zbMath1496.37064OpenAlexW4213281229WikidataQ114228360 ScholiaQ114228360MaRDI QIDQ2131152

Peng Liu, Fei Guo

Publication date: 25 April 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-0626-4

zbMATH Keywords

multiplicityhomoclinic solutionsmountain pass lemmanonautonomous Hamiltonian systems

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46) Nonautonomous Hamiltonian dynamical systems (Painlevé equations, etc.) (37J65)

Cites Work

• Infinitely many homoclinic solutions for a second-order Hamiltonian system with locally defined potentials
• The existence of homoclinic solutions for second-order Hamiltonian systems with periodic potentials
• Existence and multiplicity of homoclinic orbits for the second order Hamiltonian systems
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• Critical point theory and Hamiltonian systems
• Existence of homoclinic solution for the second order Hamiltonian systems.
• Local super-quadratic conditions on homoclinic solutions for a second-order Hamiltonian system
• Some results on connecting orbits for a class of Hamiltonian systems
• Minimax theorems
• Existence of even homoclinic orbits for second-order Hamiltonian systems
• A critical point theorem related to the symmetric mountain pass lemma and its applications to elliptic equations
• Multiple existence of non-radial solutions with group invariance for sublinear elliptic equations
• Infinitely many homoclinic solutions for a second-order Hamiltonian system
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Homoclinic solutions for a class of second order Hamiltonian systems
• Existence of infinitely many homoclinic orbits in Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems

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