Electron. J. Differential Equations, Vol. 2016 (2016), No. 269, pp. 1-7.

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

Aydin Tiryaki

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.

Submitted February 5, 2016. Published October 7, 2016.
Math Subject Classifications: 35J20, 35J65, 35J70.
Key Words: Elliptic equation; p-Laplacian; Picone's identity; Hardy-type inequality; comparison theorem.

Show me the PDF file (188 KB), TEX file for this article.

Aydn Tiryaki
Department of Mathematics and Computer Sciences
Faculty of Arts and Sciences
Izmir University
35350 Uckuyular, Izmir, Turkey

Return to the EJDE web page