| 带有临界指数的加权拟线性问题正解的存在性 |
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| 引用本文： | 康东升,沈小凤,杨芬.带有临界指数的加权拟线性问题正解的存在性[J].中南民族大学学报(自然科学版),2011,30(2):103-106. |
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| 作者姓名： | 康东升 沈小凤 杨芬 |
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| 作者单位： | 中南民族大学数学与统计学学院,武汉,430074 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 研究了一类带有临界指数的加权拟线性椭圆方程,利用变分方法证明了在一定条件下该方程正解的存在性.
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| 关 键 词： | 正解 椭圆问题 Hardy-Sobolev不等式 变分方法 |
Existence of Positive Solutions to the Weighted Quasilinear Problems Involving Critical Exponents |
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| Kang Dongsheng,Shen Xiaofeng,Yang Fen.Existence of Positive Solutions to the Weighted Quasilinear Problems Involving Critical Exponents[J].Journal of South-Central Univ for,2011,30(2):103-106. |
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| Authors: | Kang Dongsheng Shen Xiaofeng Yang Fen |
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| Institution: | Kang Dongsheng,Shen Xiaofeng,Yang Fen(College of Mathematics and Statistics,South-Central University for Nationalities,Wuhan 430074,China) |
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| Abstract: | In this paper,a kind of weighted quasilinear elliptic equation is investigated,which involves the critical Hardy-Sobolev exponents.Employing the variational methods,the existence of positive solutions to the system is proved. |
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| Keywords: | positive solution elliptic problem Hardy-Sobolev inequality variational method |
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