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Journal of Differential Equations
Article
License: Elsevier Non-Commercial
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Journal of Differential Equations
Article . 2002
License: Elsevier Non-Commercial
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Journal of Differential Equations
Article . 2002 . Peer-reviewed
License: Elsevier Non-Commercial
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Global Bifurcations of Solutions of Emden–Fowler-Type Equation −Δu(x)=λf(u(x)) on an Annulus in Rn, n⩾3

Authors: Rybicki, S.M.;

Global Bifurcations of Solutions of Emden–Fowler-Type Equation −Δu(x)=λf(u(x)) on an Annulus in Rn, n⩾3

Abstract

AbstractIn this article we study global and symmetry-breaking bifurcations of solutions of Emden–Fowler-type elliptic differential equations. As the main tool we use a topological invariant which is suitable for study of global bifurcations and continuations of critical points of equivariant functionals. Namely, we will apply degree for S1-equivariant orthogonal maps defined in Rybicki (1994, Nonlinear Anal TMA 23, 83–102).

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Keywords

symmetry-breaking bifurcations, global bifurcations., elliptic differential equations, Analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Average
Average
Average
hybrid