Integral averages and oscillation criteria for half-linear partial differential equation

摘要

The technique of weighted integral averages, known in the oscillation theory of ordinary differential equations, is extended to the half-linear partial differential equation(E)div(∥∇u∥p−2∇u)+c(x)|u|p−2u=0,p>1.This technique is used to obtain new oscillation criteria for (E) on the unbounded domains.