Oscillation of damped PDE with image-Laplacian in unbounded domains Original Research Article

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