| 球上一类含临界增长p-Laplace方程的渐近性(英文) |
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| 引用本文： | 耿堤
,薛亚芬.球上一类含临界增长p-Laplace方程的渐近性(英文)[J].Annals of Differential Equations,2002(1). |
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| 作者姓名： | 耿堤 薛亚芬 |
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| 作者单位： | Dept. of Math.,South China Normal University,Guangzhou 510681 |
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| 基金项目： | The research work was supported by the National Natural Science Foundation of China (No. 10071024),the Guangdong Provincial N |
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| 摘 要： | 1 IntroductionIn this paper we study the blow--up of positive solutions as A - 0+ fOr thefOllowing boundary value problem of the weighted pLaplacian on the unit ballcenter at the origin B = B1(0) C Rn:where cr5 u > fi --p > --n and p* = p(n + a)/(fi +n --p) is the critical exponentof the embedding Wl"(fl, lxtpdx) - Lp*(fl, lxl"dx) (see, for example, 6]).When u is radially symmetric, y(r) = u(x), fOr r = lxl, satisfieswhere the new exponents cr, g, p and p* satisfyThe existence and non-exi…
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ASYMPTOTICS FOR A CLASS OF p-LAPLACE EQUATION INVOLVING CRITICAL GROWTH ON BALL |
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| Geng Di Xue Yafen.ASYMPTOTICS FOR A CLASS OF p-LAPLACE EQUATION INVOLVING CRITICAL GROWTH ON BALL[J].微分方程年刊(英文版),2002(1). |
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| Authors: | Geng Di Xue Yafen |
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| Abstract: | |
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| Keywords: | p-Laplace operator asymptotic behavior critical exponents |
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