Picone’s identity for $\Delta_{\gamma}$-Laplace operator and its applications

UDC 517.9We prove a nonlinear analogue of Picone's identity for $\Delta_{\gamma}$-Laplace operator. As an application, we give a Hardy type inequality and Sturmian comparison principle.We also show the strict monotonicity of the principle eigenvalue and degenerate elliptic system. &...

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Bibliographic Details
Date:2021
Main Author: Luyen, D. T.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2021
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/639
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal