| 包含临界指数的奇异p-Laplacian解的存在性和不存在性 |
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| 引用本文： | 姚仰新,陈志辉,陈银冬.包含临界指数的奇异p-Laplacian解的存在性和不存在性[J].工程数学学报,2004,21(6):905-909. |
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| 作者姓名： | 姚仰新 陈志辉 陈银冬 |
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| 作者单位： | 华南理工大学应用数学系,广东,广州,510640 |
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| 基金项目： | This work was Supported by NSFC (10171032) and NSF of Guangdong (011606). |
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| 摘 要： | 本文利用Sobolev-Hardy不等式，山路几何，Pohozaeve恒等式，证明了一类包含临界指数的奇异p-Laplacian解的存在性和不存在性。
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| 关 键 词： | p-Laplacian方程 临界指数 非平凡解 Pohozaeve恒等式 Sobolev-Hardy不等式 |
Existence and Nonexistence of Solutions for a Singular p-Laplacian Involving Critical Exponent |
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| Abstract.Existence and Nonexistence of Solutions for a Singular p-Laplacian Involving Critical Exponent[J].Chinese Journal of Engineering Mathematics,2004,21(6):905-909. |
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| Authors: | Abstract |
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| Abstract: | In this paper we give some existence and nonexistence results for a singular p-Laplace equation involving critical Sobolve-Hardy exponent by using Sobolev-Hardy inequality, the mountain pass geometry and Pohozaeve identity. |
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| Keywords: | p-Laplace equation critical exponent nontrivial solution Pohozaeve identity Sobolev- Hardy inequality |
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