| 多奇异点和Sobolev临界指数椭圆方程解的存在性与多重性 |
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| 引用本文： | 丁凌,孟义杰.多奇异点和Sobolev临界指数椭圆方程解的存在性与多重性[J].襄樊学院学报,2008,29(5):5-9. |
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| 作者姓名： | 丁凌 孟义杰 |
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| 作者单位： | 寰樊学院数学系,湖北,襄樊,441053 |
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| 基金项目： | 湖北省教削厅青年人才项目 |
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| 摘 要： | 用变分方法证明了一类具有多个奇异点，Sobolev临界指数和非线性项的半线性椭圆方程正解的存在性和多重性．
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| 关 键 词： | Sobolev临界指数 奇异点 椭圆方程 (PS)条件 |
Existence and Multiplicity of Positive Solutions for Semi-linear Elliptic Equations Involving Singular Points, Sobolev Critical Exponents and Non-linear Items |
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| DING Ling,MENG Yi-jie.Existence and Multiplicity of Positive Solutions for Semi-linear Elliptic Equations Involving Singular Points, Sobolev Critical Exponents and Non-linear Items[J].Journal of Xiangfan University,2008,29(5):5-9. |
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| Authors: | DING Ling MENG Yi-jie |
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| Institution: | (Department of Mathematics, Xiangfan University, Xiangfan 441053, China) |
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| Abstract: | Existence and multiplicity of positive solutions for semi-linear elliptic equations with singular points, sobolev critical exponents and non-linear items are discussed in the paper by the variational methods and some analysis techniques. |
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| Keywords: | Sobolev critical exponents Singular point Elliptic equations （PS） Conditions |
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