| 带临界指数的奇异椭圆方程多重解的存在性 |
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| 引用本文： | 李娟.带临界指数的奇异椭圆方程多重解的存在性[J].河北大学学报(自然科学版),2010,30(4). |
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| 作者姓名： | 李娟 |
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| 作者单位： | 宁波大学,数学系,江苏,宁波,315211 |
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| 基金项目： | 国家自然科学基金资助项目，宁波市自然科学基金资助项目，宁波市科研基金资助项目 |
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| 摘 要： | 利用Ekeland变分原理和临界点理论,借助亏格的概念和性质得到了带临界指数的奇异椭圆方程无穷多具有负能量的非平凡解的存在性.把Chen Jiangqing的结果折非奇异椭圆方程推广到了奇异椭圆方程中.
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| 关 键 词： | 奇异椭圆方程 Sobolev-Hardy不等式 Ekeland变分原理 |
Existence of Multiple Solutions for a Singular Elliptic Equation Involving Critical Exponents |
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| LI Juan.Existence of Multiple Solutions for a Singular Elliptic Equation Involving Critical Exponents[J].Journal of Hebei University (Natural Science Edition),2010,30(4). |
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| Authors: | LI Juan |
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| Institution: | LI Juan(Department of Mathematics,Ningbo University,Ningbo 315211,China) |
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| Abstract: | Using Ekeland's variational principle,critical point theory,the definition and properties of the genus,we prove that the problem has infinitely many solutions with negative energy.So the results of Chen Jiangqing in nonsingular elliptic equation generate in to singular elliplic equation. |
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| Keywords: | singular elliptic equation Sobolev-Hardy inequality Ekeland's variational principle |
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