Homoclinics for asymptotically quadratic and superquadratic Hamiltonian systems
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Publication:1030027
DOI10.1016/J.NA.2008.10.116zbMath1168.58302OpenAlexW2025932652MaRDI QIDQ1030027
Publication date: 1 July 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2008.10.116
Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)
Related Items (41)
Existence of homoclinic solutions for a class of asymptotically quadratic non-autonomous Hamiltonian systems ⋮ Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems ⋮ New homoclinic solutions for a class of second-order Hamiltonian systems with a mixed condition ⋮ Fast homoclinic solutions for damped vibration problems with superquadratic potentials ⋮ Homoclinic solutions for second-order Hamiltonian systems with periodic potential ⋮ On locally superquadratic Hamiltonian systems with periodic potential ⋮ Homoclinic orbits of sub-linear Hamiltonian systems with perturbed terms ⋮ Fast homoclinic solutions for a class of ordinary \(p\)-Laplacian systems ⋮ Multiplicity solutions for a class of fractional Hamiltonian systems with concave-convex potentials ⋮ On ground-state homoclinic orbits of a class of superquadratic damped vibration systems ⋮ Existence of homoclinic solutions for nonlinear second-order problems ⋮ Multibump solutions for discrete periodic nonlinear Schrödinger equations ⋮ Infinitely many homoclinic solutions for damped vibration problems with subquadratic potentials ⋮ Local super-quadratic conditions on homoclinic solutions for a second-order Hamiltonian system ⋮ Homoclinic solutions for ordinary \(p\)-Laplacian systems with local super-\(p\) linear conditions ⋮ Fast homoclinic orbits for a class of damped vibration systems ⋮ Fast homoclinic solutions for some second order non-autonomous systems ⋮ Existence of homoclinic solutions for a class of second order systems ⋮ Existence of homoclinic orbits for a class of asymptotically \(p\)-linear aperiodic \(p\)-Laplacian systems ⋮ Existence and multiplicity of homoclinic orbits for second-order Hamiltonian systems with superquadratic potential ⋮ Infinitely many homoclinic orbits for Hamiltonian systems with indefinite sign subquadratic potentials ⋮ Existence of subharmonic solutions for a class of second-order \(p\)-Laplacian systems with impulsive effects ⋮ Infinitely many homoclinic solutions for a class of second-order Hamiltonian systems ⋮ Existence of one homoclinic orbit for second order Hamiltonian systems involving certain hypotheses of monotonicity on the nonlinearities ⋮ Homoclinic orbits for second-order Hamiltonian systems with subquadratic potentials ⋮ Multiple Homoclinic Solutions for Second‐Order Perturbed Hamiltonian Systems ⋮ Existence and multiplicity of homoclinic solutions for a class of damped vibration problems ⋮ Homoclinic solutions for a class of asymptotically quadratic Hamiltonian systems ⋮ Homoclinic solutions for a class of second order Hamiltonian systems ⋮ Ground state homoclinic orbits for a class of asymptotically periodic second-order Hamiltonian systems ⋮ New existence and multiplicity results of homoclinic orbits for a class of second order Hamiltonian systems ⋮ Subharmonic and homoclinic solutions for second order Hamiltonian systems with new superquadratic conditions ⋮ Existence of infinitely many homoclinic orbits for a class of aperiodic systems via variational methods ⋮ Existence of homoclinic solutions for second order Hamiltonian systems with general potentials ⋮ Multiplicity of periodic solutions for second order Hamiltonian systems with asymptotically quadratic conditions ⋮ Homoclinic orbits for damped vibration systems with asymptotically quadratic or subquadratic potentials ⋮ Homoclinic orbits for second order Hamiltonian systems with asymptotically linear terms at infinity ⋮ New homoclinic orbits for Hamiltonian systems with asymptotically quadratic growth at infinity ⋮ Homoclinic orbits for a class of asymptotically quadratic Hamiltonian systems ⋮ TWO ALMOST HOMOCLINIC SOLUTIONS FOR A CLASS OF PERTURBED HAMILTONIAN SYSTEMS WITHOUT COERCIVE CONDITIONS ⋮ Superquadratic or asymptotically quadratic Hamiltonian systems: ground state homoclinic orbits
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