Unique continuation for solutions of p(x)-Laplacian equations

We study the unique continuation property for solutions to the quasilinear elliptic equation $$ hbox{div}(| abla u|^{p(x)-2} abla u) +V(x)|u|^{p(x)-2}u=0quad hbox{in }Omega, $$ where $Omega$ is a smooth bounded domain in $mathbb{R}^N$ and $1