| 一类具奇异势的拟线性椭圆方程的无穷多解 |
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| 引用本文： | 沈自飞,杨敏波.一类具奇异势的拟线性椭圆方程的无穷多解[J].数学进展,2007,36(3):268-276. |
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| 作者姓名： | 沈自飞 杨敏波 |
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| 作者单位： | 1. 浙江师范大学数学系,金华,321004;北京信息控制研究所,北京,100037
2. 浙江师范大学数学系,金华,321004 |
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| 基金项目： | 国家自然科学基金;浙江省自然科学基金 |
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| 摘 要： | 本文用变分法和集中紧性原理获得了一类具奇异势的拟线性椭圆方程-Δ_pu=μ(|μ|~(P~*(s)-2)u)/(|x|~s) λf(x,u),u∈H_0~(1,p)(Ω)的无穷多解．
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| 关 键 词： | 非平凡解 Hardy-Sobolev临界指数 Palais-smale序列 |
| 文章编号： | 1000-0917（2007）03-0268-09 |
| 修稿时间： | 2004-12-272005-09-08 |
Infinite Solutions for a Class of Quasilinear Elliptic Equations With Singular Potential |
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| SHEN Zifei,YANG Minbo.Infinite Solutions for a Class of Quasilinear Elliptic Equations With Singular Potential[J].Advances in Mathematics,2007,36(3):268-276. |
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| Authors: | SHEN Zifei YANG Minbo |
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| Institution: | 1. Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, 321004, P. R. China; 2. Beijing Information Control Institute, Beijing, 108037, P. R. China |
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| Abstract: | With the aids of variational methods and concentration-compactness principle, infinitely many solutions are obtained for a class of quasilinear elliptic equations with singular potential
-△pu=μ|u|p*(s)-2u/|x|s+λf(x,u),u∈H01,p(Ω). |
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| Keywords: | nontrivial solution Hardy-Sobolev critical exponent Palais-Smale sequence |
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