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[21]
Talenti G., 1976, Ann. di Mat. Pura ed Appl., V110, P353, DOI DOI 10.1007/BF02418013
Classification of solutions of a critical Hardy-Sobolev operator
被引：57
作者：
Mancini, G.
Fabbri, I.
Sandeep, K.
机构：
[1] Univ Roma Tre, Dipartimento Matemat, Rome, Italy
[2] TIFR Ctr, Bangalore 560012, Karnataka, India
关键词：
D O I：
10.1016/j.jde.2005.07.001
中图分类号：
O1 [数学];
学科分类号：
0701 ;
070101 ;
摘要：
In this article we classify all positive finite energy solutions of the equation -Delta u = u(n/n-2)/vertical bar y vertical bar in R-n where R-n = R-k x Rn-k, n > k >= 2 and a point x is an element of R-n is denoted as x = (y, z) is an element of R-k x Rn-k. As a consequence we obtain the best constant and extremals of a related Hardy-Sobolev inequality. (c) 2005 Elsevier Inc. All rights reserved.
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页码：258 / 276
页数：19
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