Radial and non-radial solutions to an elliptic problem on annular domains in Riemannian manifolds with radial symmetry

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We show existence and uniqueness of positive radial solutions to {Delta(g)u + lambda u + u(p) = 0 in A u = 0 on partial derivative A, with lambda <0, A being an annular domain in a Riemannian manifold M of dimension n endowed with the metric dr(2) + S-2 (r)g(sn-1). Secondly we show that there exist positive non-radial solutions arising by bifurcation from the radial solution. p and lambda are the bifurcation parameters.
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Issue Date
2015-03
Language
English
Article Type
Article
Keywords

NON-DEGENERACY; UNIQUENESS; EQUATION

Citation

JOURNAL OF DIFFERENTIAL EQUATIONS, v.258, no.5, pp.1461 - 1493

ISSN
0022-0396
DOI
10.1016/j.jde.2014.11.004
URI
http://hdl.handle.net/10203/195813
Appears in Collection
MA-Journal Papers(저널논문)
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