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dc.contributor.authorGameiro M.
dc.contributor.authorLessard J.-P.
dc.date.accessioned2017-02-21T08:19:29Z
dc.date.available2017-02-21T08:19:29Z
dc.date.issued2011-12-31
dc.identifier.issn0362-546X
dc.identifier.urihttp://hdl.handle.net/20.500.11824/632
dc.description.abstractIn this paper, we introduce a method to conclude about the existence of secondary bifurcations or isolas of steady state solutions for parameter dependent nonlinear partial differential equations. The technique combines the Global Bifurcation Theorem, knowledge about the non-existence of nontrivial steady state solutions at the zero parameter value and explicit information about the coexistence of multiple nontrivial steady states at a positive parameter value. We apply the method to the two-dimensional SwiftHohenberg equation. © 2011 Elsevier Ltd. All rights reserved.
dc.formatapplication/pdf
dc.languageeng
dc.publisherNonlinear Analysis, Theory, Methods and Applications
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/
dc.subjectBifurcations of equilibria for PDEs
dc.subjectGlobal Bifurcation Theorem
dc.subjectRigorous numerics
dc.subjectSecondary bifurcation
dc.titleExistence of secondary bifurcations or isolas for PDEs
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.identifier.doi10.1016/j.na.2011.03.046
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-79955760238&doi=10.1016%2fj.na.2011.03.046&partnerID=40&md5=9636821089bfba307a17db597a3248e0


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