Multiple Axially Asymmetric Solutions to a Mean Field Equation on S2
Year: 2020
Author: Zhuoran Du, Changfeng Gui, Jiaming Jin, Yuan Li
Analysis in Theory and Applications, Vol. 36 (2020), Iss. 1 : pp. 19–32
Abstract
We study the following mean field equation
Δgu+ρ(eu∫S2eudμ−14π)=0 in S2,
where ρ is a real parameter. We obtain the existence of multiple axially asymmetric solutions bifurcating from u=0 at the values ρ=4n(n+1)π for any odd integer n≥3.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-0016
Analysis in Theory and Applications, Vol. 36 (2020), Iss. 1 : pp. 19–32
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Mean field equation axially asymmetric solutions bifurcation.
Author Details
Zhuoran Du Email
Changfeng Gui Email
Jiaming Jin Email
Yuan Li Email
-
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Gui, Changfeng
Li, Qinfeng
Mathematische Zeitschrift, Vol. 305 (2023), Iss. 3
https://doi.org/10.1007/s00209-023-03369-5 [Citations: 0]