Oscillation for quasilinear elliptic equations with p(x)-Laplacians in general domains

Oscillation of quasilinear elliptic equations with p(x)-Laplacians in general domains are derived by the variational approach as applications of Picone identity. Three examples are given, and generalizations to quasilinear elliptic equations with $p(x)$-Laplacians are shown.