| 具有Hardy项和Sobolev—Hardy临界指数的半线性椭圆方程解的存在性与多重性注记 |
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| 引用本文： | 丁凌,孟义杰.具有Hardy项和Sobolev—Hardy临界指数的半线性椭圆方程解的存在性与多重性注记[J].孝感师专学报,2008(3):19-22. |
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| 作者姓名： | 丁凌 孟义杰 |
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| 作者单位： | 襄樊学院数学系,湖北襄樊441053 |
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| 摘 要： | 用山路引理和一些分析技巧证明了一类具有Hardy项和Sobolev-Hardy临界指数的半线性椭圆方程的非线性项在弱的条件下解的存在性和多重性。
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| 关 键 词： | Hardy项 Sobolev-Hardy临界指数 山路引理 存在性与多重性 (PS)条件 |
A Remark on Existence and Multiplicity of Solutions for Semilinear Elliptic Equations with Hardy Terms and Sobolev--Hardy Critical Exponents |
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| Ding Ling,Meng Yijie.A Remark on Existence and Multiplicity of Solutions for Semilinear Elliptic Equations with Hardy Terms and Sobolev--Hardy Critical Exponents[J].Journal of Xiaogan University,2008(3):19-22. |
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| Authors: | Ding Ling Meng Yijie |
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| Institution: | (Department of Mathematics, Xiangfan University, Xiangfan, Hubei 441053, China) |
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| Abstract: | In this paper, using the Mountain Pass Lemma and some analysis techniques, the authors proved the existence and multiplicity of solutions for semilinear elliptic equations with Hardy terms and Sobolev-Hardy critical exponents under weak conditions. |
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| Keywords: | Hardy terms Sobolev- Hardy critical exponents the Mountain Pass Lemma existence and multiplicity （PS） condition |
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