Existence and multiplicity of solutions for a class of quasilinear elliptic field equation on ${\mathbb{R}}^N$

Claudianor O. Alves, Alan C. B. dos Santos

In this paper, we establish existence and multiplicity of solutions for the following class of quasilinear field equation $$ -Δu+V(x)u-Δ_{p}u+W'(u)=0, \,\,\, \mbox{in} \,\,\, \math…