Existence Results for Super-Liouville Equations on the Sphere via Bifurcation Theory
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@Article{JMS-54-89,
author = {Jevnikar , AleksMalchiodi , Andrea and Wu , Ruijun},
title = {Existence Results for Super-Liouville Equations on the Sphere via Bifurcation Theory},
journal = {Journal of Mathematical Study},
year = {2021},
volume = {54},
number = {1},
pages = {89--122},
abstract = {
We are concerned with super-Liouville equations on $\mathbb{S}^2$, which have variational structure with a strongly-indefinite functional. We prove the existence of nontrivial solutions by combining the use of Nehari manifolds, balancing conditions and bifurcation theory.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v54n1.21.05}, url = {http://global-sci.org/intro/article_detail/jms/18600.html} }
TY - JOUR
T1 - Existence Results for Super-Liouville Equations on the Sphere via Bifurcation Theory
AU - Jevnikar , Aleks
AU - Malchiodi , Andrea
AU - Wu , Ruijun
JO - Journal of Mathematical Study
VL - 1
SP - 89
EP - 122
PY - 2021
DA - 2021/01
SN - 54
DO - http://doi.org/10.4208/jms.v54n1.21.05
UR - https://global-sci.org/intro/article_detail/jms/18600.html
KW - Super-Liouville equations, existence results, bifurcation theory, critical groups.
AB -
We are concerned with super-Liouville equations on $\mathbb{S}^2$, which have variational structure with a strongly-indefinite functional. We prove the existence of nontrivial solutions by combining the use of Nehari manifolds, balancing conditions and bifurcation theory.
Aleks Jevnikar, Andrea Malchiodi & Ruijun Wu. (2021). Existence Results for Super-Liouville Equations on the Sphere via Bifurcation Theory.
Journal of Mathematical Study. 54 (1).
89-122.
doi:10.4208/jms.v54n1.21.05
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