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Journal of Differential Equations
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Journal of Differential Equations
Article . 1970
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http://dx.doi.org/10.1016/0022...
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Journal of Differential Equations
Article . 1970 . Peer-reviewed
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Article . 1970
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Nonlinear bifurcation

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1970 English Publisher:Elsevier BVJournal:Journal of Differential Equations, volume 7, pages 417-434 (issn: 0022-0396, Copyright policy )
Authors: Keller, Herbert B.;

doi: 10.1016/0022-0396(70)90090-2

Nonlinear bifurcation

Abstract

We consider problems of the form (a) Lu + λg(λ, x, u) = 0, x ∈ D; (b) Bu = 0, x ∈ ∂D, for a very wide class of linear elliptic operators L, say of order 2m, and linear boundary operators B, of order m. For convenience only, we take the linear problem to be self-adjoint. ; © 1970 Published by Elsevier Inc. Received February 3, 1969. This work was supported under Contract DAHC 04-68-0006 with the U. S. Army Research Office (Durham).

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Keywords

Bifurcations in context of PDEs, Nonlinear elliptic equations, Higher-order elliptic equations, Analysis, 510

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citations
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!
48
Top 10%
Top 1%
Top 10%
hybrid