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| 摘要: |
| 本文针对各向异性Laplace算子，建立了一个非线性Picone恒等式.作为它的应用，得到了各向异性椭圆方程的Sturmian比较原理、各向异性椭圆系统的Liouville定理和广义的各向异性Hardy型不等式. |
| 关键词: 各向异性Laplace算子 非线性Picone恒等式 应用 |
| DOI： |
| 分类号:O175.29 |
| 基金项目:Supported by National Natural Science Foundation of China(11701453, 11701322); Guangxi Natural Science Foundation (2017GXNSFBA198130); Scientific Research Fund of Yunnan Provincial Education Department (2019J0556). |
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| A NONLINEAR PICONE IDENTITY FOR ANISOTROPIC LAPLACE OPERATOR AND ITS APPLICATIONS |
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FENG Ting-fu,ZHANG Ke-lei
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| 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. |
| Key words: anisotropic Laplace operator nonlinear Picone identity applications |
