52 citations · 149 across the 18 of their papers we have counts for
18 papers
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…
Minimal -symmetric period problem of first-order autonomous Hamiltonian Systems
Chungen Liu, Ben-Xing Zhou
Let satisfying , we consider the minimal -symmetric period problem of the autonomous nonlinear Hamiltonian system \begin{equation*} \dot x(t) = JH^{\…
Subharmonic Solutions and Minimal Periodic Solutions of First-order Hamiltonian Systems with Anisotropic Growth
Chungen Liu, Xiaofei Zhang
Using a homologically link theorem in variational theory and iteration inequalities of Maslov-type index, we show the existence of a sequence of subharmonic solutions of non-autono…
Ground state solutions for non-autonomous fractional Choquard equations
Yan-Hong Chen, Chungen Liu
We consider the following nonlinear fractional Choquard equation, \begin{equation}\label{e:introduction} \begin{cases} (-Δ)^{s} u + u = (1 + a(x))(I_α\ast (|u|^{p}))|u|^{p - 2}u\qu…
Existence results for the fractional Nirenberg problem
Yan-Hong Chen, Chungen Liu, Youquan Zheng
We consider the fractional Nirenberg problem on the standard sphere with . Using the theory of critical points at infinity, we establish an Euler-Hopf type…
Seifert conjecture in the even convex case
Chungen Liu, Duanzhi Zhang
In this paper, we prove that there exist at least geometrically distinct brake orbits on every compact convex symmetric hypersurface $\Sg$ in satisfying the rev…