Prufer transformation for the p-Laplacian

Abstract

Prufer transformation is a useful tool for study of second-order ordinary differential equations. There are many possible extensions of the original Prufer transformation. We focus on a transformation suitable for study of boundary value problems for the p-Laplacian in the resonant case. The purpose of this paper is to establish its basic properties in deep detail.

Keywords

• Prufer transformation
• p-Laplacian
• jumping nonlinearity