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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, 我们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: |
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A NONLINEAR PICONE IDENTITY FOR ANISOTROPIC LAPLACE OPERATOR AND ITS APPLICATIONS |
Feng Tingfu
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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 |