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