Homoclinic orbits for an infinite dimensional Hamiltonian system with periodic potential
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Publication:2511419
DOI10.1007/s12190-013-0685-xzbMath1295.35010OpenAlexW2028223941MaRDI QIDQ2511419
Yi Tang, Dingyang Lv, Jian Zhang
Publication date: 5 August 2014
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-013-0685-x
strongly indefinite functionalsperiodic boundary conditionsground state solutionsCerami sequencesdiffusion systems
Variational inequalities (49J40) Variational methods applied to PDEs (35A15) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Systems of nonlinear higher-order PDEs (35G50)
Related Items
Ground state solutions for a diffusion system ⋮ Ground states for diffusion system with periodic and asymptotically periodic nonlinearity ⋮ Existence of homoclinic solutions for second order Hamiltonian systems with general potentials
Cites Work
- Unnamed Item
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- On superlinear Schrödinger equations with periodic potential
- Infinitely many solutions for diffusion equations without symmetry
- Homoclinic solutions of an infinite-dimensional Hamiltonian system
- Ground state solutions for a periodic Schrödinger equation with superlinear nonlinearities
- Ground states of nonlinear Schrödinger equations with potentials
- Periodic solutions for a class of first order super-quadratic Hamiltonian system
- The concentration-compactness principle in the calculus of variations. The locally compact case. II
- Periodic solutions of an infinite-dimensional Hamiltonian system
- On a diffusion system with bounded potential
- Ground state solutions for some indefinite variational problems
- Homoclinic orbits for Schrödinger systems.
- Minimax theorems
- Homoclinic orbits for an unbounded superquadratic Hamiltonian systems
- Differential systems with strongly indefinite variational structure
- On a class of infinite-dimensional Hamiltonian systems with asymptotically periodic nonlinearities
- Solutions of a system of diffusion equations
- Periodic solutions of an infinite dimensional Hamiltonian system
- On Superquadratic Elliptic Systems
- An infinite dimensional Morse theory with applications
- Weak Linking Theorems and Schrödinger Equations with Critical Sobolev Exponent
- AN ASYMPTOTICALLY PERIODIC SCHRÖDINGER EQUATION WITH INDEFINITE LINEAR PART
- Strongly indefinite functionals and multiple solutions of elliptic systems
- Nonstationary homoclinic orbits for an infinite-dimensional Hamiltonian system
