Existence of solutions for a quasilinear elliptic system with local nonlinearity on ${\mathbb{R}}^N$

Xingyong Zhang, Cuiling Liu

In this paper, we investigate the existence of solutions for a class of quasilinear elliptic system \begin{eqnarray*} \begin{cases}{ccc} -\mbox{div}(ϕ_1(|\nabla u|)\nabla u)+V_1(x)…