On critical $p$-Laplacian systems

Zhenyu Guo, Kanishka Perera, Wenming Zou

We consider the critical $p$-Laplacian system \begin{equation}\label{92} \begin{cases}-Δ_p u-\frac{λa}{p}|u|^{a-2}u|v|^b =μ_1|u|^{p^\ast-2}u+\frac{αγ}{p^\ast}|u|^{α-2}u|v|^β, &x\in…