Existence of three solutions for a class of (p1,\ldots,pn)-biharmonic systems with Navier boundary conditions
Shapour Heidarkhani, Yu Tian, Chun‐Lei Tang · Annales Polonici Mathematici · 2012
We establish the existence of at least three weak solutions for the $(p_{1},\ldots,p_{n})$-biharmonic system $$\begin{cases} {\mit\Delta}(|{\mit\Delta} u_{i}|^{p_i-2}{\mit\Delta} u_{i})=\lambda F_{u_{i}}(x,u_{1},\ldots,u_{n})&\mbox{in }{\mit\Omega},\\ u_{