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 - <p style="text-align: justify;">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.</p>