Asymptotic behaviour of the first eigenfunction of a Hardy–Sobolev operator

✍ Scribed by K. Sandeep; K. Sreenadh

• Book ID: 104330571
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 179 KB
• Volume: 54
• Category: Article
• ISSN: 0362-546X
• DOI: 10.1016/s0362-546x(03)00111-1

✦ Synopsis

In this paper we study the nature of singularity of the ÿrst eigenfunction of the Hardy-Sobolev operator,

deÿned on H 1 0 ( ); where is a bounded domain in R n , n ¿ 3 and q(x) = 1 -C=(log R=|x|) in a neighbourhood of the origin.