| Hénon方程基态解的集中性态 |
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| 引用本文： | 罗琳,彭双阶.Hénon方程基态解的集中性态[J].数学杂志,2003,23(4):417-422. |
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| 作者姓名： | 罗琳 彭双阶 |
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| 作者单位： | 孝感学院数学系,湖北,孝感,432100 |
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| 摘 要： | 本文主要分析了含原点区域上零边界条件的H啨ｎｏｎ方程 -Δpu =|x|αuq - 1基态解的集中性态 ,证明了当q→p =np/(n -p) ,(n >p >1 )时 ,其基态解集中在区域的边界
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| 关 键 词： | 基态解 集中性态 Hnon方程 集中紧原理 |
THE CONCENTRATION BEHAVIOR OF THE GROUND STATE SOLUTIONS FOR HENON EQUATION |
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| LUO Lin,PENG Shuangjie.THE CONCENTRATION BEHAVIOR OF THE GROUND STATE SOLUTIONS FOR HENON EQUATION[J].Journal of Mathematics,2003,23(4):417-422. |
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| Authors: | LUO Lin PENG Shuangjie |
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| Abstract: | The main purpose of this paper is to analyze the concentration behaviour of the ground state solution of Henon equation -△pu = |x|auq-1 in Ω, u=0 on Ω, (Ω Rn is a ball centered at the origin). It is proved that for q close to p* =np/(n-p), (n＞p＞1), the ground state solution uq concentrates near the boundary of Ω. |
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| Keywords: | ground state solution concentration behaviour Henon equation concentration compactness principle |
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