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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年 / 224卷 / 02期

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.

引用

页码：258 / 276

页数：19

共 21 条

[1]

Aubin T., 1976, J. Di ff erential Geom., V11, P573

[2] A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics [J].