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

• Datum: 2021
• 1. Verfasser: Luyen, D. T.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2021
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/639
• Назва журналу: 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. &...