3 papers
math.FA2018
An index theory with applications to homoclinic Orbits of Hamiltonian systems and Dirac equations
Qi Wang, Chungen Liu
In this paper, we will define the index pair by the dual variational method, and show the relationship between the indices defined by different methods. As applic…
math.DS2012
Homoclinic orbits for a class of nonperiodic Hamiltonian systems with some twisted conditions
Qi Wang, Qingye Zhang
In this paper, by the Masolv index theory, we will study the existence and multiplicity of homoclinic orbits for a class of asymptotically linear nonperiodic Hamiltonian systems wi…
math.SG2010
Symmetrical Symplectic Capacity with Applications
Chungen Liu, Qi Wang
In this paper, we first introduce the concept of symmetrical symplectic capacity for symmetrical symplectic manifolds, and by using this symmetrical symplectic capacity theory we p…