5 papers
Three solutions for a quasilinear inclusion systems driven by a nonstandard Laplacian operator in
Cuiling Liu, Xingyong Zhang
This paper establishes the existence of three distinct weak solutions for a class of nonhomogeneous quasilinear inclusion systems, which are governed by locally Lipschitz functiona…
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…
Multiple solutions for a class of nonhomogeneous elliptic systems with Dirichlet boundary or Neumann boundary
Xiaoli Yu, Xingyong Zhang
In this paper, we mainly establish the existence of at least three non-trivial solutions for a class of nonhomogeneous quasilinear elliptic systems with Dirichlet boundary value or…
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*}…
Existence of solutions for Kirchhoff-type fractional Dirichlet problem with -Laplacian
Danyang Kang, Cuiling Liu, Xingyong Zhang
In this paper, we investigate the existence of solutions for a class of -Laplacian fractional order Kirchhoff-type system with Riemann-Liouville fractional derivatives and a par…