Asymptotic behavior on the Hénon equation with supercritical exponent

被引:0
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作者
ShuJuan Li
ShuangJie Peng
机构
[1] Central China Normal University,School of Mathematics and Statistics
[2] Jiangxi Bluesky University,School of Sciences
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关键词
Hénon equation; asymptotic behavior; supercritical exponent; 35J20; 35J60;
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摘要
The main purpose of this paper is to analyze the asymptotic behavior of the radial solution of Hénon equation −Δu = |x|αup−1, u > 0, x ∈ BR(0) ⊂ ℝn (n ⩾ 3), u = 0, x ∈ ∂BR(0), where \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ p \to p(\alpha ) = \frac{{2(n + \alpha )}} {{n - 2}} $$\end{document} from left side, α > 0.
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页码:2185 / 2194
页数:9
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