Existence and concentration of homoclinic orbits for first order Hamiltonian systems

DOI10.3934/cam.2024006MaRDI QIDQ6611945

Wen Zhang, Tian-Fang Wang

Publication date: 27 September 2024

Published in: Communications in Analysis and Mechanics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemconcentrationground state homoclinic orbits

Mathematics Subject Classification ID

Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Cites Work

• Homoclinic orbits for first order periodic Hamiltonian systems with spectrum point zero
• Ground state solutions for Hamiltonian elliptic system with inverse square potential
• A variational approach to homoclinic orbits in Hamiltonian systems
• First order elliptic systems and the existence of homoclinic orbits in Hamiltonian systems
• Existence and exponential decay of homoclinics in a nonperiodic superquadratic Hamiltonian system
• Ground state solutions for some indefinite variational problems
• Homoclinic orbits in a first order superquadratic Hamiltonian system: Convergence of subharmonic orbits
• Critical point theory and Hamiltonian systems
• Homoclinic orbits for a class of first order nonperiodic Hamiltonian systems
• Homoclinic solutions of Hamiltonian systems with symmetry
• Homoclinic orbits of a Hamiltonian system
• Homoclinic orbits for first order Hamiltonian systems
• Stationary states of the nonlinear Dirac equation: A variational approach
• Generalized linking theorem with an application to a semilinear Schrödinger equation
• Existence and exponential decay of ground-state solutions for a nonlinear Dirac equation
• Ground states for planar Hamiltonian elliptic systems with critical exponential growth
• Semiclassical states for coupled nonlinear Schrödinger system with competing potentials
• Brake orbits for Hamiltonian systems of the classical type via geodesics in singular Finsler metrics
• Ground state homoclinic orbits for first-order Hamiltonian system
• Existence of ground state solution and concentration of maxima for a class of indefinite variational problems
• Homoclinic orbits for a nonperiodic Hamiltonian system
• Existence and asymptotics of normalized ground states for a Sobolev critical Kirchhoff equation
• Schrödinger semigroups
• Homoclinic orbits of superlinear Hamiltonian systems
• Deformation theorems on non-metrizable vector spaces and applications to critical point theory
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Periodic solutions of hamiltonian systems
• Infinitely many homoclinic orbits of a Hamiltonian system with symmetry
• Homoclinic orbits for first-order Hamiltonian system with local super-quadratic growth condition
• MULTIPLE HOMOCLINICS IN A HAMILTONIAN SYSTEM WITH ASYMPTOTICALLY OR SUPER LINEAR TERMS
• Existence of infinitely many homoclinic orbits in Hamiltonian systems
• Homoclinic orbits for asymptotically linear Hamiltonian systems
• Global existence and multiplicity for nonlinear Robin eigenvalue problems
• Solutions with sign information for noncoercive double phase equations
• Normalized ground states for the Sobolev critical Schrödinger equation with at least mass critical growth
• Stokes-Dirac structures for distributed parameter port-Hamiltonian systems: an analytical viewpoint

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