Authors
Citation
P. Korman, SOLUTION CURVES FOR SEMILINEAR EQUATIONS ON A BALL, Proceedings of the American Mathematical Society, 125(7), 1997, pp. 1997-2005
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
ISSN journal
00029939
Volume
125
Issue
7
Year of publication
1997
Pages
1997 - 2005
Database
ISI
SICI code
0002-9939(1997)125:7<1997:SCFSEO>2.0.ZU;2-E
Abstract
We show that the set of positive solutions of semilinear Dirichlet pro
blem on a ball of radius R in R-n Delta u + lambda f(u) = 0 for \x\<R,
u = 0 on \x\ = R consists of smooth curves. Our results can be applie
d to compute the direction of bifurcation. We also give an easy proof
of a uniqueness theorem due to Smeller and Wasserman (1984).