Homoclinic solutions for subquadratic Hamiltonian systems without coercive conditions

DOI10.11650/TJM.18.2014.3508zbMath1357.34082OpenAlexW2084832902MaRDI QIDQ514735

Ziheng Zhang, Rong Yuan, Tian Xiang

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.18.2014.3508

zbMATH Keywords

variational methodscritical pointhomoclinic solutionsgenus

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

New homoclinic solutions for a class of second-order Hamiltonian systems with a mixed condition ⋮ Existence and nonuniqueness of homoclinic solutions for second-order Hamiltonian systems with mixed nonlinearities ⋮ A Variant of Clark's Theorem and Its Applications for Nonsmooth Functionals without the Palais--Smale Condition ⋮ Homoclinic orbits for the second-order Hamiltonian systems ⋮ Homoclinic solutions for second order Hamiltonian systems near the origin

Cites Work

• Unnamed Item
• Homoclinic orbits for superquadratic Hamiltonian systems without a periodicity assumption
• Existence of homoclinic orbits for asymptotically periodic systems involving Duffing-like equation
• Dual variational methods in critical point theory and applications
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials

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