| 带有临界Sobolev指数的椭圆方程组的解 |
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| 引用本文： | 康东升,杨芬,沈小凤. 带有临界Sobolev指数的椭圆方程组的解[J]. 中南民族大学学报(自然科学版), 2011, 30(1): 101-104 |
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| 作者姓名： | 康东升 杨芬 沈小凤 |
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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Sobolev指数和Hardy项的椭圆方程组,运用变分方法,证明了在一定条件下椭圆方程组非负解的存在性.
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| 关 键 词： | 椭圆方程组 临界指数 Hardy不等式 非负解 变分方法 |
Solutions to the Elliptic Systems Involving Critical Sobolev Exponents |
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| Kang Dongsheng,Yang Fen,Shen Xiaofeng. Solutions to the Elliptic Systems Involving Critical Sobolev Exponents[J]. Journal of South-Central Univ for, 2011, 30(1): 101-104 |
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| Authors: | Kang Dongsheng Yang Fen Shen Xiaofeng |
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| Affiliation: | Kang Dongsheng,Yang Fen,Shen Xiaofeng(College of Mathematics and Statistics,South-Central University for Nationalities,Wuhan 430074,China) |
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| Abstract: | In this paper,a singular elliptic system is investigated,which involves the critical Sobolev exponents and Hardy-type terms.Employing the variational methods,the existence of nonnegative solutions to the system is proved. |
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| Keywords: | elliptic system critical exponent Hardy inequality nonnegative solution variational method |
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