数学杂志2020,Vol.40Issue(3):283-290,8.
各向异性Laplace算子的一个非线性Picone恒等式及其应用
A NONLINEAR PICONE IDENTITY FOR ANISOTROPIC LAPLACE OPERATOR AND ITS APPLICATIONS
摘要
Abstract
A nonlinear Picone identity for anisotropic Laplace operator is established in this paper.As applications,a Sturmian comparison principle to an anisotropic elliptic equation,a Liouville's theorem to an anisotropic elliptic system and a generalized anisotropic Hardy type inequality are obtained.关键词
各向异性Laplace算子/非线性Picone恒等式/应用Key words
anisotropic Laplace operator/nonlinear Picone identity/applications分类
数理科学引用本文复制引用
冯廷福,张克磊..各向异性Laplace算子的一个非线性Picone恒等式及其应用[J].数学杂志,2020,40(3):283-290,8.基金项目
Supported by National Natural Science Foundation of China(11701453,11701322) (11701453,11701322)
Guangxi Natural Science Foundation (2017GXNSFBA198130) (2017GXNSFBA198130)
Scientific Research Fund of Yunnan Provincial Education Department (2019J0556). (2019J0556)