3 papers
math.AP2025
Infinitely many solutions for an instantaneous and non-instantaneous fourth-order differential system with local assumptions
Lijuan Kang, Xingyong Zhang, Cuiling Liu
We investigate a class of fourth-order differential systems with instantaneous and non-instantaneous impulses. Our technical approach is mainly based on a variant of Clark's theore…
math.AP2023
Ground state solutions for a non-local type problem in fractional Orlicz Sobolev spaces
Liben Wang, Xingyong Zhang, Cuiling Liu
In this paper, we study the following nonlocal problem in fractional Orlicz Sobolev spaces \begin{eqnarray*} (-Δ_Φ)^{s}u+V(x)a(|u|)u=f(x,u),\quad x\in\mathbb{R}^N, \end{eqnarray*}…
math.AP2023
Multiplicity of solutions for a class of nonhomogeneous quasilinear elliptic system with locally symmetric condition in
Cuiling Liu, Xingyong Zhang, Liben Wang
This paper is concerned with a class of nonhomogeneous quasilinear elliptic system driven by the locally symmetric potential and the small continuous perturbations in the whole-spa…