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

• Дата: 2021
• Автор: Luyen, D. T.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2021
• Онлайн доступ: 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. &...