STRUCTURE OF RADIAL SOLUTIONS TO X-VERTICAL-BAR)VERTICAL-BAR-U-VERTICAL-BAR(P-1)U=0 IN R(N)(K(VERTICAL)

Authors
YANAGIDA E
Citation
E. Yanagida, STRUCTURE OF RADIAL SOLUTIONS TO X-VERTICAL-BAR)VERTICAL-BAR-U-VERTICAL-BAR(P-1)U=0 IN R(N)(K(VERTICAL), SIAM journal on mathematical analysis, 27(4), 1996, pp. 997-1014
Citations number
18
Categorie Soggetti
Mathematics,Mathematics
Journal title
SIAM journal on mathematical analysis → ACNP
ISSN journal
00361410
Volume
27
Issue
4
Year of publication
1996
Pages
997 - 1014
Database
ISI
SICI code
0036-1410(1996)27:4<997:SORSTX>2.0.ZU;2-O
Abstract
The elliptic equation equation Delta u + K(r)\u\(p-1)u = 0 in R(n) is studied, where r = \x\,p > 1,n > 2, and K(r) > 0 for r is an element o f (0,infinity). If rK(r)(r)/K(r) is nonincreasing in r, then the struc ture of radial solutions is determined completely by analyzing lineari zed equations around the solutions.