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 | |
| Publication status | Published - Jan 1 2015 |
Fingerprint
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 journal › Article
}
TY - JOUR
T1 - Bifurcation and symmetry breaking of nodoids with fixed boundary
AU - Koiso, Miyuki
AU - Palmer, Bennett
AU - Piccione, Paolo
PY - 2015/1/1
Y1 - 2015/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84943594661&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84943594661&partnerID=8YFLogxK
U2 - 10.1515/acv-2014-0011
DO - 10.1515/acv-2014-0011
M3 - Article
AN - SCOPUS:84943594661
VL - 8
SP - 337
EP - 370
JO - Advances in Calculus of Variations
JF - Advances in Calculus of Variations
SN - 1864-8258
IS - 4
ER -