| 带Robin边值条件的半线性奇异椭圆方程正解的存在性 |
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| 引用本文： | 金玲玉,麦麦提明 阿不都克里木.带Robin边值条件的半线性奇异椭圆方程正解的存在性[J].数学杂志,2008,28(5). |
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| 作者姓名： | 金玲玉 麦麦提明 阿不都克里木 |
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| 作者单位： | 1. 华南农业大学理学院,广东,广州,510642
2. 喀什师范学院数理系,新疆,喀什,844000 |
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| 摘 要： | 本文研究了一类带Robin边值条件的半线性奇异椭圆方程．通过Hardy不等式，山路引理以及选取适当的试验函数验证局部PS条件，得到了此类方程正解的存在性这一结果．
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| 关 键 词： | 正解 紧性 临界Sobolev—Hardy指数 Hardy不等式 椭圆方程 |
EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR SEMILINEAR ELLIPTIC EQUATIONS WITH ROBIN BOUNDARY CONDITIONS |
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| JIN Ling-yu,Mamatimin Abdikirim.EXISTENCE OF POSITIVE SOLUTIONS FOR SINGULAR SEMILINEAR ELLIPTIC EQUATIONS WITH ROBIN BOUNDARY CONDITIONS[J].Journal of Mathematics,2008,28(5). |
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| Authors: | JIN Ling-yu Mamatimin Abdikirim |
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| Abstract: | In this paper, we investigate a class of semilinear singular elliptic equations with Robin boundary conditions. By Hardy inequality, Mountain-Pass Theorem and chosing a test function to verify local PS conditions, we obtain the existence of positive solutions of such equations. |
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| Keywords: | positive solutions compactness critical Sobolev-Hardy exponent Hardy inequality elliptic equation |
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