Bifurcation and symmetry breaking of nodoids with fixed boundary

Miyuki Koiso; Bennett Palmer; Paolo Piccione

doi:10.1515/acv-2014-0011

Bifurcation and symmetry breaking of nodoids with fixed boundary

Miyuki Koiso, Bennett Palmer, Paolo Piccione

Division of Fundamental mathematics

Research output: Contribution to journal › Article › peer-review

4 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 language	English
Pages (from-to)	337-370
Number of pages	34
Journal	Advances in Calculus of Variations
Volume	8
Issue number	4
DOIs	https://doi.org/10.1515/acv-2014-0011
Publication status	Published - Jan 1 2015

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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