Oscillation of damped PDE with p-Laplacian in unbounded domains

In this paper, new oscillation theorems for the damped partial differential equation (PDE) with p-Laplacian div(A(x)‖∇u‖p−2∇u)+〈b→(x),‖∇u‖p−2∇u〉+c(x)|u|p−2u=0 are established in unbounded domains. Our theorems as two special cases when A≡I or A≡I,b→(x)≡0 improve and complement some existing results in the literature. To illustrate our main results, we give some corollaries and examples.