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| 具Hardy-Sobolev临界指数的奇异椭圆方程多解的存在性 | |
| 引用本文： | 吴波,沈自飞,杨敏波. 具Hardy-Sobolev临界指数的奇异椭圆方程多解的存在性[J]. 应用泛函分析学报, 2006, 8(2): 118-125 |
| 作者姓名： | 吴波 沈自飞 杨敏波 |
| 作者单位： | 1. 绍兴文理学院元培学院,浙江,绍兴,312000 2. 浙江师范大学数理学院,浙江,金华,321004 |
| 摘 要： | 运用变分方法研究了下面问题-Δpu=μupx(s)s-2u f(x,u),x∈Ω,u=0,x∈Ω,多重解的存在性,其中Ω是一个具有光滑边界的有界区域. |
| 关 键 词： | p-Laplacian算子 Hardy-Sobolev临界指数 集中紧性原则 |
| 文章编号： | 1009-1327（2006）02-0118-08 |
| 收稿时间： | 2005-06-21 |
| 修稿时间： | 2005-06-21 |
Multiple Solutions for Singular Elliptic Problems Involving Hardy-Sobolev Critical Exponent |
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| WU Bo,SHEN Zi-fei,YANG Min-bo. Multiple Solutions for Singular Elliptic Problems Involving Hardy-Sobolev Critical Exponent[J]. Acta Analysis Functionalis Applicata, 2006, 8(2): 118-125 | |
| Authors: | WU Bo SHEN Zi-fei YANG Min-bo |
| Abstract: | We use variational methods to study the multiplicity of solutions for the following quasilinear partial differential equation {-△pu=μ|u|p*(s)-2u/|x|s+f(x,u),x∈Ω, u=0, x∈αΩ,where Ω is a bounded domain in RN with smooth boundary.The concentration compactness principle allows to prove that the Palais-Smale condition is satisfied below a certain level. |
| Keywords: | p-Laplacian operator Hardy-Sobolev critical concentration compactness principle |
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