TY - JOUR
T1 - Stability and bifurcation for surfaces with constant mean curvature
AU - Koiso, Miyuki
AU - Palmer, Bennett
AU - Piccione, Paolo
N1 - Funding Information:
2010 Mathematics Subject Classification. Primary 58E12; Secondary 53A10, 49Q10, 49R05. Key Words and Phrases. bifurcation, constant mean curvature surfaces, stability. The first author is supported in part by JSPS KAKENHI Grant Numbers JP25287012, JP26520205, and JP26610016. The third author is partially supported by CNPq and Fapesp, Brazil.
Publisher Copyright:
© 2017 The Mathematical Society of Japan.
PY - 2017
Y1 - 2017
N2 - We give criteria for the existence of smooth bifurcation branches of fixed boundary CMC surfaces in ℝ3, and we discuss stability/instability issues for the surfaces in bifurcating branches. To illustrate the theory, we discuss an explicit example obtained from a bifurcating branch of fixed boundary unduloids in ℝ3.
AB - We give criteria for the existence of smooth bifurcation branches of fixed boundary CMC surfaces in ℝ3, and we discuss stability/instability issues for the surfaces in bifurcating branches. To illustrate the theory, we discuss an explicit example obtained from a bifurcating branch of fixed boundary unduloids in ℝ3.
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U2 - 10.2969/jmsj/06941519
DO - 10.2969/jmsj/06941519
M3 - Article
AN - SCOPUS:85031407598
SN - 0025-5645
VL - 69
SP - 1519
EP - 1554
JO - Journal of the Mathematical Society of Japan
JF - Journal of the Mathematical Society of Japan
IS - 4
ER -