3 papers
math.DS2020
Multiple solutions for superlinear Klein-Gordon-Maxwell equations
Dong-Lun Wu, Hongxia Lin
In this paper, we consider the following Klein-Gordon-Maxwell equations \begin{eqnarray*} \left\{ \begin{array}{ll} -Δu+ V(x)u-(2ω+ϕ)ϕu=f(x,u)+h(x)&\mbox{in },\\ -Δ…
math.DS2019
Solutions for fourth-order Kirchhoff type elliptic equations involving concave-convex nonlinearities in
Dong-Lun Wu, Fengying Li
In this paper, we show the existence and multiplicity of solutions for the following fourth-order Kirchhoff type elliptic equations \begin{eqnarray*} Δ^{2}u-M(\|\nabla u\|_{2}^{2})…
math.DS2019
New homoclinic orbits for Hamiltonian systems with asymptotically quadratic growth at infinity
Dong-Lun Wu, Xiang Yu
In this paper, we study the existence and multiplicity of homoclinic solutions for following Hamiltonian systems with asymptotically quadratic nonlinearities at infinity \begin{eqn…