TY - JOUR
T1 - Bifurcation and symmetry breaking of nodoids with fixed boundary
AU - Koiso, Miyuki
AU - Palmer, Bennett
AU - Piccione, Paolo
N1 - Funding Information:
Funding: The first author is partially supported by Grant-in-Aid for Scientific Research (B) No. 25287012 of the Japan Society for the Promotion of Science, and the Kyushu University Interdisciplinary Programs in Education and Projects in Research Development. The third author is partially supported by Fapesp and CNPq, Brazil.
Publisher Copyright:
© 2015 by De Gruyter 2015.
PY - 2015/10/1
Y1 - 2015/10/1
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.
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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 -