| 具有奇异项的拟线性椭圆型方程组无穷多弱解的存在性 |
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| 引用本文： | 胡业新.具有奇异项的拟线性椭圆型方程组无穷多弱解的存在性[J].应用数学,2006,19(2):304-312. |
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| 作者姓名： | 胡业新 |
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| 作者单位： | 上海财经大学应用数学系,上海,200433 |
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| 摘 要： | 本文在一定条件下讨论了一类具有奇异项的,被两个pLaplacian算子控制的拟线性椭圆型方程组Dirichlet问题无穷多弱解的存在性.
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| 关 键 词： | 拟线性椭圆型方程组 Sobolev-Hardy不等式 临界Sobolev指标 Palais-Smale条件 |
| 文章编号： | 1001-9847(2006)02-0304-09 |
| 收稿时间： | 2005-05-31 |
| 修稿时间： | 2005年5月31日 |
On the Existence of Infinitely Many Weak Solutions for Some Quasi-Linear Elliptic Systems Involving Singular Terms |
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| HU Ye-xin.On the Existence of Infinitely Many Weak Solutions for Some Quasi-Linear Elliptic Systems Involving Singular Terms[J].Mathematica Applicata,2006,19(2):304-312. |
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| Authors: | HU Ye-xin |
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| Institution: | Department of Applied Mathematics, Shanghai University of Finance and Economics ,Shanghai 200433, China |
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| Abstract: | In this paper,we study the existence of infinitely many weak solutions to quasi-linear elliptic systems governed by two p-Laplacian operators,involving the singular terms under some conditions. |
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| Keywords: | Elliptic equation systems Sobolev-Hardy inequality Critical Sobolev exponent Palais-Smale condition |
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