| 一类奇异临界椭圆方程非平凡解的存在性 |
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| 引用本文： | 吕登峰. 一类奇异临界椭圆方程非平凡解的存在性[J]. 数学的实践与认识, 2011, 41(2) |
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| 作者姓名： | 吕登峰 |
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| 作者单位： | 孝感学院,数学系,湖北,孝感,432000 |
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| 摘 要： | 研究了一类带Sobolev-Hardy临界指数的奇异椭圆方程,应用变分方法,通过能量估计和证明对应的能量泛函满足(PS)_c条件,运用山路引理得到了这类方程非平凡解的存在性.
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| 关 键 词： | 山路引理 Sobolev-Hardy临界指数 椭圆方程 |
Existence of Nontrivial Solutions for Singular Critical Elliptic Equations |
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| LV Deng-feng. Existence of Nontrivial Solutions for Singular Critical Elliptic Equations[J]. Mathematics in Practice and Theory, 2011, 41(2) |
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| Authors: | LV Deng-feng |
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| Affiliation: | LV Deng-feng (Department of Mathematics,Xiaogan University,Xiaogan 432000,China) |
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| Abstract: | A class singular elliptic equations with Sobolev-Hardy critical exponents are studied.With the variational methods,using the mountain pass lemma,the existence of nontrivial solutions are obtained by estimating energy carefully and proving the energy functional corresponding to the equations satisfies the(PS)_c condition. |
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| Keywords: | mountain pass lemma Sobolev-Hardy critical exponents elliptic equations |
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