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Fundamentalnaya i Prikladnaya Matematika, 2006, Volume 12, Issue 4, Pages 149–167 (Mi fpm964)  
This article is cited in 1 scientific paper (total in 1 paper)

Counting solutions in bifurcation problems

J. Lopez-Gomez, C. Mora-Corral

Universidad Complutense de Madrid
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Abstract: In this paper, we use the topological degree to obtain some sharp lower bounds for the number of solutions of the parameter slices of the semi-bounded components of the set of nontrivial solutions of an abstract nonlinear equation with a trivial state. By a semi-bounded component, we mean a component that is bounded in one direction of the parameter. The spectrum of the linearization of the equation at the trivial state is not assumed to be discrete.
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 150, Issue 5, Pages 2395–2407
DOI: https://doi.org/10.1007/s10958-008-0138-5
Bibliographic databases:
UDC: 517.98
Language: Russian
Citation: J. Lopez-Gomez, C. Mora-Corral, “Counting solutions in bifurcation problems”, Fundam. Prikl. Mat., 12:4 (2006), 149–167; J. Math. Sci., 150:5 (2008), 2395–2407
Citation in format AMSBIB
\Bibitem{LopMor06}
\by J.~Lopez-Gomez, C.~Mora-Corral
\paper Counting solutions in bifurcation problems
\jour Fundam. Prikl. Mat.
\yr 2006
\vol 12
\issue 4
\pages 149--167
\mathnet{http://mi.mathnet.ru/fpm964}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2314151}
\zmath{https://zbmath.org/?q=an:1150.47370}
\transl
\jour J. Math. Sci.
\yr 2008
\vol 150
\issue 5
\pages 2395--2407
\crossref{https://doi.org/10.1007/s10958-008-0138-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42249102604}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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