| 零扰动下一类RN 上临界增长的椭圆方程正解的存在性 |
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| 引用本文： | 周海银. 零扰动下一类RN 上临界增长的椭圆方程正解的存在性[J]. 国防科技大学学报, 1992, 14(3): 89-95 |
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| 作者姓名： | 周海银 |
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| 作者单位： | 国防科技大学系统工程与应用数学系 |
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| 摘 要： | 本文讨论了N维欧氏空间R~N上一类临界增长的拟线性椭圆型方程—div(|Du|~(p-2)Du)+k(x)u~)p-1)=K(x)U~(p-1),u∈W~(1,p)(R~N)∩L~p(R~N)的正解的存在性。其中4≤p~2≤N,p=Np/(N—p)。在微分几何与物理学等领域起重要作用的Yamabe问题就是其特例(p=2)。本文运用集中紧引理,证明了问题的正解的存在性。
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| 关 键 词： | 椭圆方程 方程解 存在性 临界增长 |
| 收稿时间： | 1991-06-06 |
The Exisitence of Positive Solutions of a Quasilinear Elliptic Equation on RN of Critical Increase with Zero-perturbation |
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| Zhou Haiyin. The Exisitence of Positive Solutions of a Quasilinear Elliptic Equation on RN of Critical Increase with Zero-perturbation[J]. Journal of National University of Defense Technology, 1992, 14(3): 89-95 |
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| Authors: | Zhou Haiyin |
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| Affiliation: | Department of System Engineering and Applied Mathematics |
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| Abstract: | This Paper is concerned with the existence of positive solutions. The Yamabe problem which is very important in the fields of differential geometry,physics ,etc is a special example. In this paper,the author has obtained the existence of positive solutions of the above problem by applying the concentrain-compactness lemmas. |
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| Keywords: | elliptic equation soltion of equation existence |
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