Existence of one homoclinic orbit for second order Hamiltonian systems involving certain hypotheses of monotonicity on the nonlinearities

DOI10.1016/J.NONRWA.2018.11.007zbMath1408.37103OpenAlexW2903777126WikidataQ128703228 ScholiaQ128703228MaRDI QIDQ1729274

E. Toon, Pedro Ubilla, Patricio Cerda

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.11.007

zbMATH Keywords

variational methodshomoclinic orbitsindefinite problemCerami sequences

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44)

Related Items (1)

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Cites Work

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• Homoclinic orbits for the second-order Hamiltonian systems
• Homoclinics for asymptotically quadratic and superquadratic Hamiltonian systems
• Sull'esistenza di autovalori per un problema al contorno non lineare
• Multiple homoclinic orbits for a class of conservative systems
• Superquadratic or asymptotically quadratic Hamiltonian systems: ground state homoclinic orbits
• Homoclinic solutions for a class of the second order Hamiltonian systems
• Homoclinic solutions for nonautonomous second order Hamiltonian systems with a coercive potential
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• A Variation of the Mountain Pass Lemma and Applications
• Homoclinic orbits for a class of Hamiltonian systems

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