Generalized nonlinear Picone's identity for the p-Laplacian and its applications

Abstract

In this article we derive a generalized version of nonlinear Picone's identity for the p-Laplacian. We use this identity to obtain a Hardy-type inequality and a Sturm comparison result. We also establish the relationship between the components of the solution of nonlinear elliptic systems.

Keywords

• Elliptic equation
• p-Laplacian
• Picone's identity
• Hardy-type inequality
• comparison theorem