Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 243, pp. 1-6.

Title: Generalized Picone's identity and its applications

Author: Kaushik Bal (National Inst. for Science Education and Research, Odisha, India)

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.

Submitted July 24, 2013. Published November 08, 2013.
Math Subject Classifications: 35J20, 35J65, 35J70.
Key Words: Quasilinear elliptic equation; Picone's identity; comparison theorem.