| 具临界Sobolev指数的半线性椭圆方程的多重正解 |
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| 引用本文： | 赵培浩,钟承奎.具临界Sobolev指数的半线性椭圆方程的多重正解[J].数学研究,1996,29(4):21-28. |
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| 作者姓名： | 赵培浩 钟承奎 |
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| 作者单位： | 兰州大学数学系 |
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| 摘 要： | 本文讨论了零边值半线性椭圆方程的多重正解，其中使用没有（ＰＳ）条件的山路引理及对最佳Ｓｏｂｏｌｅｖ嵌入常数的分析，证明了至少两个解的存在性．
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| 关 键 词： | 非线性椭圆方程，临界Solovev指数，正解 |
Multiple Positive Solutions of Semilinear Elliptic Equation Involving Critical sobolev Exponents |
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| Zhao Peihao, Zhong chengkui.Multiple Positive Solutions of Semilinear Elliptic Equation Involving Critical sobolev Exponents[J].Journal of Mathematical Study,1996,29(4):21-28. |
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| Authors: | Zhao Peihao Zhong chengkui |
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| Abstract: | This Paper is devoted to the study of multiple positive solutions of semiliner eiliptic equation:with Dirichlet boundary value condition, for Via analysis the best Sobolev embedding constant and the Mountain Pass Theorem without (P. S.)condition, we obtain that it bas at least two solutions. |
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| Keywords: | semi Linear elliptic equation Ctrical sobolev exponents Positive solutions |
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