Bifurcation and symmetry breaking of nodoids with fixed boundary

Miyuki Koiso, Bennett Palmer, Paolo Piccione

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

We prove bifurcation results for (compact portions of) nodoids in R3, whose boundary consists of two fixed coaxial circles of the same radius lying in parallel planes. Degeneracy occurs at an infinite discrete sequence of instants, that are divided into four classes. Different types of bifurcation and break of symmetry occur at each instant of three of the four classes; bifurcation does not occur at the degeneracy instants of the fourth class.

Original languageEnglish
Pages (from-to)337-370
Number of pages34
JournalAdvances in Calculus of Variations
Volume8
Issue number4
DOIs
Publication statusPublished - Jan 1 2015

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Symmetry Breaking
Instant
Bifurcation
Degeneracy
Coaxial circles
Radius
Symmetry
Class

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

Cite this

Bifurcation and symmetry breaking of nodoids with fixed boundary. / Koiso, Miyuki; Palmer, Bennett; Piccione, Paolo.

In: Advances in Calculus of Variations, Vol. 8, No. 4, 01.01.2015, p. 337-370.

Research output: Contribution to journalArticle

Koiso, Miyuki ; Palmer, Bennett ; Piccione, Paolo. / Bifurcation and symmetry breaking of nodoids with fixed boundary. In: Advances in Calculus of Variations. 2015 ; Vol. 8, No. 4. pp. 337-370.
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