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

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.

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

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