Generalized Picone's identity and its applications

Abstract

In this article we give a generalized version of Picone's identity in a nonlinear setting for the p-Laplace operator. As applications we give a Sturmian Comparison principle and a Liouville type theorem. We also study a related singular elliptic system.

Keywords

• Quasilinear elliptic equation
• Picone's identity
• comparison theorem