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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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. &...