Article ID Journal Published Year Pages File Type
841005 Nonlinear Analysis: Theory, Methods & Applications 2011 7 Pages PDF
Abstract

In this paper, we study the half-linear differential equation with one-dimensional pp-Laplacian (r(t)Φp(x′))′+c(t)Φp(x)=0,(r(t)Φp(x′))′+c(t)Φp(x)=0, where Φp(x)=|x|p−2xΦp(x)=|x|p−2x and p>1p>1. Using a suitable modification of the so-called linearization technique, we derive new results which allow to compare the solutions of two equations with different pp and provide new integral characterization of the principal solution.

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