| R~N上临界增长的椭圆方程无穷多解的存在性 |
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| 引用本文： | 冉启康,方爱农.R~N上临界增长的椭圆方程无穷多解的存在性[J].数学学报,2002,45(4):773-782. |
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| 作者姓名： | 冉启康 方爱农 |
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| 作者单位： | 1. 上海财经大学应用数学系,上海,200433
2. 上海交通大学应用数学系,上海,200030 |
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| 基金项目： | 国家自然科学基金资助项目（19531060） |
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| 摘 要： | 本文证明了RN上的拟线性椭圆型方程-div（|Du|p-2Du）+|u|p-2u=λ（x）·|u|α-2u+a（x）|u|s-2u+b（x）|u|p＊-2u在W1,p（RN）中无穷多解的存在性,其中N≥3,2≤p
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| 关 键 词： | 拟线性椭圆型方程 集中紧性原理 亏格 弱解 |
| 文章编号： | 0583-1431(2002)04-0773-10 |
| 修稿时间： | 1999年10月11 |
Existence of Infinitely Many Solutions on a Class of Elliptic Equations in R_N |
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| Qi Kang RAN.Existence of Infinitely Many Solutions on a Class of Elliptic Equations in R_N[J].Acta Mathematica Sinica,2002,45(4):773-782. |
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| Authors: | Qi Kang RAN |
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| Institution: | Qi Kang RAN(Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, P. R. China)Ai Nong FANG (Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China) |
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| Abstract: | This paper gives the result of existence of infinitely many solutions on quasi-linear elliptic equation -div|Du|p-2Du] +|u|p-2u=λ(x)|u|α-2u+a(x)|u|s-2u+a(x)|u|p*-2u in W1,P(RN), where N≥3, 2≤p
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| Keywords: | Quasilinear elliptic equations Concentration-compactness principle Genus Infinitely many solutions |
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