Homoclinic orbits of superlinear Hamiltonian systems
Copyright policy )Homoclinic orbits of superlinear Hamiltonian systems
In this paper, we consider the first-order Hamiltonian system \[ J u ˙ ( t ) + ∇ H ( t , u ( t ) ) = 0 , t ∈ R . J\dot {u}(t)+\nabla H(t,u(t))=0,\quad t\in \mathbb {R}. \] Here the classical Ambrosetti-Rabinowitz superlinear condition is replaced by a general super-quadratic condition. We will study the homoclinic orbits for the system. The main idea here lies in an application of a variant generalized weak linking theorem for a strongly indefinite problem developed by Schechter and Zou.
- Nankai University China (People's Republic of)
ground state solution, first-order Hamiltonian system, homoclinic orbit, concentration-compactness principle, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods, Variational principles in infinite-dimensional spaces
ground state solution, first-order Hamiltonian system, homoclinic orbit, concentration-compactness principle, Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces, Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods, Variational principles in infinite-dimensional spaces
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