2 papers
math.AP2021
Dynamics of nonlinear hyperbolic equations of Kirchhoff type
Jianyi Chen, Yimin Sun, Zonghu Xiu +1
In this paper, we study the initial boundary value problem of the important hyperbolic Kirchhoff equation $$u_{tt}-\left(a \int_Ω|\nabla u|^2 \dif x +b\right)Δu = λu+ |u|^{p-1}u ,$…
math.AP2021
Periodic solutions to Klein-Gordon systems with linear couplings
Jianyi Chen, Zhitao Zhang, Guijuan Chang +1
In this paper, we study the nonlinear Klein-Gordon systems arising from relativistic physics and quantum field theories $$\left\{\begin{array}{lll} u_{tt}- u_{xx} +bu + \varepsilon…