| 带临界指数的蜕化p-Laplace方程解的存在性 |
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| 引用本文： | 黄浩锋,陈少英. 带临界指数的蜕化p-Laplace方程解的存在性[J]. 五邑大学学报(自然科学版), 2008, 22(1): 68-72 |
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| 作者姓名： | 黄浩锋 陈少英 |
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| 作者单位： | 1. 华南师范大学,增城学院,广东,广州,511363
2. 五邑大学,数理系,广东,江门,529020 |
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| 摘 要： | 在含有临界指数的p-Laplace方程，由于嵌入Hp^1.p（Ω）→L^p＊b（Ω，｜x｜^-α）不紧，如果直接运用标准变分方法去讨论其临界点的存在是比较困难的．为此，采用集中紧原理，证明了方程的非平凡解的存在性．
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| 关 键 词： | 集中紧原理 紧嵌入定理 (PS)c 条件 |
| 文章编号： | 1006-7302（2008）01-0068-05 |
| 收稿时间： | 2007-10-15 |
| 修稿时间： | 2007-10-15 |
The Existence of Nontrivial Solution to a Degenerate p-Laplace Equation with Critical Exponent |
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| HUANG Hao-feng,CHEN Shao-ying. The Existence of Nontrivial Solution to a Degenerate p-Laplace Equation with Critical Exponent[J]. Journal of Wuyi University(Natural Science Edition), 2008, 22(1): 68-72 |
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| Authors: | HUANG Hao-feng CHEN Shao-ying |
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| Affiliation: | HUANG Hao-feng, CHEN Shao-ying (1. Zengcheng College, South China Normal University, Guangzhuou 511363, China; 2. Department of Mathematies ＆ Physies, Wuyi University, Jiangmen 529020, China) |
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| Abstract: | For the p-Laplace equation with critical exponents, because the imbedding Hp^1.p（Ω）→L^p＊b（Ω,｜x｜^-α） is not compact, it is a difficult to find critical points by standard variational methods Thus the concentration compactness principle is used to prove the existence of one nontrivial solution. |
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| Keywords: | concentrate compactness principle compact embedding theorem （PS）c condition. |
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