应用数学2017，Vol.30Issue(2)：278-283,6.
一个新的非线性Picone恒等式及其应用
A New Nonlinear Picone Identity and Applications
摘要
Abstract
In this paper,we derive a new nonlinear Picone identity to the p-Laplacian which contains some known Picone identities.As applications,a Sturmian comparison principle to the p-Laplace equation with singular item,a Liouville's theorem to the p-Laplace system and a general Hardy type inequality with weights are obtained.It yields some new and interesting Hardy type inequalities from the results here.关键词
Picone恒等式/p-Laplace算子/Sturm比较原理/Liouville定理/Hardy型不等式Key words
Picone identity/p-Laplacian/Sturmian comparison principle/Liouville's theorem/Hardy type inequality分类
数理科学引用本文复制引用
冯廷福..一个新的非线性Picone恒等式及其应用[J].应用数学,2017,30(2):278-283,6.基金项目
Supported by the National Natural Science Foundation of China(11271299) and the Natural Science Basic Research Plan in Shaanxi Province of China (2016JM1203) （11271299）
