Periodic solutions for Hamiltonian systems without Ambrosetti-Rabinowitz condition and spectrum 0

DOI10.1016/j.jmaa.2011.02.013zbMath1218.37079OpenAlexW2059345549MaRDI QIDQ531891

Shiwang Ma, Guan-Wei Chen

Publication date: 20 April 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.02.013

zbMATH Keywords

periodic solutionground stateAmbrosetti-Rabinowicz superquadratic conditionsuperquadratic Hamiltonian system

Mathematics Subject Classification ID

Related Items (24)

Infinitely many nontrivial periodic solutions for damped vibration problems with asymptotically linear terms ⋮ Multiple results of damped systems with general nonlinearities ⋮ Infinitely many solutions for resonant cooperative elliptic systems with sublinear or superlinear terms ⋮ Ground-state solutions for superquadratic Hamiltonian elliptic systems with gradient terms ⋮ On homoclinic orbits for a class of damped vibration systems ⋮ Asymptotically or super linear cooperative elliptic systems in the whole space ⋮ Ground state periodic solutions of second order Hamiltonian systems without spectrum 0 ⋮ On multiple solutions of a semilinear Schrödinger equation with periodic potential ⋮ Periodic solutions for second-order even and noneven Hamiltonian systems ⋮ Discrete nonlinear Schrödinger equations with superlinear nonlinearities ⋮ A note on the minimal period problem for second order Hamiltonian systems ⋮ Non-autonomous second order Hamiltonian systems ⋮ Multiple periodic solutions for damped vibration systems with general nonlinearities at infinity ⋮ Ground state homoclinic orbits of damped vibration problems ⋮ EXISTENCE OF PERIODIC SOLUTIONS FOR HAMILTONIAN SYSTEMS WITH SUPER-LINEAR AND SIGN-CHANGING NONLINEARITIES ⋮ Infinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systems ⋮ Ground state solutions for nonperiodic Dirac equation with superquadratic nonlinearity ⋮ Non-periodic damped vibration systems with sublinear terms at infinity: infinitely many homoclinic orbits ⋮ Multiple homoclinics for nonperiodic damped systems with superlinear terms ⋮ Existence of time periodic solutions for a class of non-resonant discrete wave equations ⋮ Ground state homoclinic orbits of superquadratic damped vibration systems ⋮ Homoclinic orbits of superlinear Hamiltonian systems ⋮ Nonperiodic damped vibration systems with asymptotically quadratic terms at infinity: infinitely many homoclinic orbits ⋮ Ground state solutions and periodic solutions with minimal periods to second-order Hamiltonian systems

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