Homoclinic solutions for a class of second order Hamiltonian systems

DOI10.1007/S00025-010-0088-3zbMath1264.34091OpenAlexW3022993437MaRDI QIDQ5916091

Ziheng Zhang, Rong Yuan

Publication date: 9 November 2012

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-010-0088-3

zbMATH Keywords

variational methodscritical pointhomoclinic solutions

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (10)

New homoclinic solutions for a class of second-order Hamiltonian systems with a mixed condition ⋮ Multiplicity solutions for a class of fractional Hamiltonian systems with concave-convex potentials ⋮ Existence and nonuniqueness of homoclinic solutions for second-order Hamiltonian systems with mixed nonlinearities ⋮ Existence and multiplicity of homoclinic orbits for second-order Hamiltonian systems with superquadratic potential ⋮ Homoclinic orbits for second-order Hamiltonian systems with subquadratic potentials ⋮ Homoclinic orbits for the second-order Hamiltonian systems ⋮ Solutions for fourth-order Kirchhoff type elliptic equations involving concave-convex nonlinearities in \(\mathbb{R}^N\) ⋮ Ground state homoclinic orbits for a class of asymptotically periodic second-order Hamiltonian systems ⋮ Infinitely many homoclinic orbits for a class of second-order damped differential equations ⋮ Existence of homoclinic solutions for second order Hamiltonian systems with general potentials

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