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Regular and Chaotic Dynamics, 2009, Volume 14, Issue 1, Pages 163–178
DOI: https://doi.org/10.1134/S1560354709010110 (Mi rcd545) 		 
This article is cited in 1 scientific paper (total in 1 paper)

JÜRGEN MOSER – 80

Gluing a Mountain Pass Solution to a Minimum

P. H. Rabinowitz

Department of Mathematics, University of Wisconsin–Madison, Madison, WI 53706, U.S.A.
Citations (1)
DOI: https://doi.org/10.1134/S1560354709010110
Abstract: This paper presents a variational method for constructing solutions of a pendulum model equation that shadow a mountain pass solution glued to a minimum of the associated functional. It allows for more degenerate situations and gives more qualitative information than the classical Poincare–Birkho–Smale theory.
Keywords: variational methods, minima, mountain pass solutions, hybrid solutions, invariant region, heat flow.
Received: 25.12.2008
Accepted: 12.01.2009
Bibliographic databases:
Document Type: Personalia
MSC: 34C37, 48E30, 70K44, 34J99
Language: English
Citation: P. H. Rabinowitz, “Gluing a Mountain Pass Solution to a Minimum”, Regul. Chaotic Dyn., 14:1 (2009), 163–178
Citation in format AMSBIB
\Bibitem{Rab09}
\by P. H. Rabinowitz
\paper Gluing a Mountain Pass Solution to a Minimum
\jour Regul. Chaotic Dyn.
\yr 2009
\vol 14
\issue 1
\pages 163--178
\mathnet{http://mi.mathnet.ru/rcd545}
\crossref{https://doi.org/10.1134/S1560354709010110}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2480957}
\zmath{https://zbmath.org/?q=an:1229.34069}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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