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}
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\begin{document}$$
p \to p(\alpha ) = \frac{{2(n + \alpha )}}
{{n - 2}}
$$\end{document} from left side, α > 0.
机构:
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
Jiangxi Bluesky Univ, Sch Sci, Nanchang 330098, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
Li ShuJuan
Peng ShuangJie
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机构:
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
Peng ShuangJie
SCIENCE IN CHINA SERIES A-MATHEMATICS,
2009,
52
(10):
: 2185
-
2194
机构:
Chongqing Three Gorges Univ, Coll Math & Stat, Key Lab Nonlinear Sci & Syst Struct, Chongqing 404000, Peoples R ChinaChongqing Three Gorges Univ, Coll Math & Stat, Key Lab Nonlinear Sci & Syst Struct, Chongqing 404000, Peoples R China
Wang, Liangwei
Yin, Jingxue
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机构:
South China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R ChinaChongqing Three Gorges Univ, Coll Math & Stat, Key Lab Nonlinear Sci & Syst Struct, Chongqing 404000, Peoples R China
机构:
Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R ChinaUniv Shanghai Sci & Technol, Shanghai, Peoples R China
Wang, Juan
Wang, Xueke
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机构:
Cent South Univ, Changsha, Peoples R China
Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R ChinaUniv Shanghai Sci & Technol, Shanghai, Peoples R China
Wang, Xueke
Li, Junping
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机构:
Univ Shanghai Sci & Technol, Shanghai, Peoples R China
Cent South Univ, Sch Math & Stat, Changsha 410083, Peoples R ChinaUniv Shanghai Sci & Technol, Shanghai, Peoples R China