| ON CRITICAL SINGULAR QUASILINEAR ELLIPTIC PROBLEM WHEN n = p |
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| 引用本文： | 姚仰新 沈尧天. ON CRITICAL SINGULAR QUASILINEAR ELLIPTIC PROBLEM WHEN n = p[J]. 数学物理学报(B辑英文版), 2006, 26(2): 209-219 |
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| 作者姓名： | 姚仰新 沈尧天 |
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| 作者单位： | School of Mathematical Sciences South China University of Technology Guangzhou 510640，China，School of Mathematical Sciences South China University of Technology，Guangzhou 510640，China |
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| 基金项目： | Supported by NSFC(10471047)NSF Guangdong Province(04020077) |
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| 摘 要： | This article deals with the problem where n = p. The authors prove that a Hardy inequality and the constant (p/p-1)p is optimal. They also prove the existence of a nontrivial solution of the above mentioned problem by using the Mountain Pass Lemma.
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| 关 键 词： | 椭圆方程 Hardy不等式 临界奇点 微分方程 |
| 收稿时间： | 2003-04-02 |
| 修稿时间： | 2003-11-04 |
ON CRITICAL SINGULAR QUASILINEAR ELLIPTIC PROBLEM WHEN n=p |
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| Yao Yangxin,Shen Yaotian. ON CRITICAL SINGULAR QUASILINEAR ELLIPTIC PROBLEM WHEN n=p[J]. Acta Mathematica Scientia, 2006, 26(2): 209-219 |
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| Authors: | Yao Yangxin Shen Yaotian |
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| Abstract: | This article deals with the problem where n=p. The authors prove that a Hardy inequality and the constant (p/p-1)p is optimal. They also prove the existence of a nontrivial solution of the above mentioned problem by using the Mountain Pass Lemma. |
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| Keywords: | Elliptic equation Hardy inequality critical singularity Mountain Pass Lemma |
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