| 包含2个临界指数的奇异椭圆方程组正解的存在性 |
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| 引用本文： | 李娟.包含2个临界指数的奇异椭圆方程组正解的存在性[J].上海交通大学学报,2006,40(11):1991-1996,2002. |
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| 作者姓名： | 李娟 |
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| 作者单位： | 上海交通大学,数学系,上海,200240 |
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| 基金项目： | 国家自然科学基金;上海市科委科研基金;国家自然科学基金 |
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| 摘 要： | 研究了带有2个临界Sobolev指数的奇异拟线性椭圆型方程组.利用Sobolev-Hardy不等式、翻山引理和第二集中紧原理,在方程的系数和指数满足一定的条件下得到了方程正解的存在性结果.
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| 关 键 词： | 椭圆方程组 Sobolev-Hardy不等式 临界Sobolev指数 变分方法 |
| 文章编号： | 1006-2467（2006）11-1991-06 |
| 收稿时间： | 2005-10-27 |
| 修稿时间： | 2005-10-27 |
The Existence of Positive Solution for Singular Elliptic Systems Involving Two Critical Exponents |
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| LI Juan.The Existence of Positive Solution for Singular Elliptic Systems Involving Two Critical Exponents[J].Journal of Shanghai Jiaotong University,2006,40(11):1991-1996,2002. |
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| Authors: | LI Juan |
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| Institution: | Dept. of Mathematics, Shanghai Jiaotong Univ., Shanghai 200240, China |
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| Abstract: | A singular quasilinear elliptic system involving two critical Sobolev exponents was studied.(Using) Sobolev-Hardy inequality,Mountain Pass lemma and Concentration compactness principle,the existence of positive solution was proved under the certain conditions that the cofficients and exponents of the(equation) meet. |
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| Keywords: | elliptic equation systems Sobolev-Hardy inequality critical Sobolev exponents variational method |
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