| 具有加权Hardy-Sobolev临界指数的半线性椭圆方程的无穷多个任意小解 |
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| 引用本文： | 杜其武,唐春雷.具有加权Hardy-Sobolev临界指数的半线性椭圆方程的无穷多个任意小解[J].西南农业大学学报,2011,33(6). |
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| 作者姓名： | 杜其武 唐春雷 |
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| 作者单位： | 西南大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金资助项目(10771173;10726004) |
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| 摘 要： | 考虑了具有加权Hardy-Sobolev临界指数的半线性椭圆方程,运用变分方法和分析技巧得到了1列收剑于零的无穷多个任意小解.
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| 关 键 词： | 加权Hardy-Sobolev临界指数 (PS)c-条件 对称山路引理 |
Infinitely Many Arbitrarily Small Solutions for Semilinear Elliptic Equations with Critical Weighted Hardy-Sobolev Exponents |
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| DU Qi-wu,TANG Chun-lei School of Mathematics , Statistics,Southwest University,Chongqing ,China.Infinitely Many Arbitrarily Small Solutions for Semilinear Elliptic Equations with Critical Weighted Hardy-Sobolev Exponents[J].Journal of Southwest Agricultural University,2011,33(6). |
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| Authors: | DU Qi-wu TANG Chun-lei School of Mathematics Statistics Southwest University Chongqing China |
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| Institution: | DU Qi-wu,TANG Chun-lei School of Mathematics and Statistics,Southwest University,Chongqing 400715,China |
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| Abstract: | A sequence of infinitely many arbitrarily small solutions converging to zero are obtained for a class of semilinear elliptic equations with critical weighted Hardy-Sobolev exponents by the variational methods and some analysis techniques. |
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| Keywords: | critical weighted Hardy-Sobolev critical exponent (PS)c condition symmetric Mountain Pass Lemma |
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