| 带有临界Sobolev指数和位势的拟线性方程的正解 |
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| 引用本文： | 康东升,李智萍,方达.带有临界Sobolev指数和位势的拟线性方程的正解[J].中南民族大学学报(自然科学版),2012,31(1):105-108. |
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| 作者姓名： | 康东升 李智萍 方达 |
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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(10771219);国家民委科研基金资助项目(07ZN03) |
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| 摘 要： | 研究了一类带有临界Sobolev指数和多个Hardy项的拟线性椭圆方程,运用分析技巧和变分方法,证明了当1max{p2,p＋1}时该方程正解的存在性.
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| 关 键 词： | 拟线性方程 正解 Hardy不等式 变分方法 |
Positive Solutions to the Quasilinear Problems Involving Critical Sobolev Exponents and Potentials |
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| Kang Dongsheng,Li Zhiping,Fang Da.Positive Solutions to the Quasilinear Problems Involving Critical Sobolev Exponents and Potentials[J].Journal of South-Central Univ for,2012,31(1):105-108. |
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| Authors: | Kang Dongsheng Li Zhiping Fang Da |
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| Affiliation: | (College of Mathematics and Statistics,South-Central University for Nationalities,Wuhan 430074,China) |
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| Abstract: | In this paper,a singular quasilinear elliptic problem is studied,which involves the critical Sobolev exponent and multiple Hardy-type terms.By the analytical techniques and variational methods,when 1max{p2,p+1},the existence of positive solutions to the problem is proved. |
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| Keywords: | quasilinear problem positive solution Hardy inequality variational method |
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