Inserted: 11 mar 2020
Last Updated: 1 feb 2021
Journal: J. Math. Study
We are concerned with super-Liouville equations on the two sphere, which have variational structure with a strongly-indefinite functional. We prove the existence of non-trivial solutions by combining the use of Nehari manifolds, balancing conditions and bifurcation theory.
Keywords: existence results, super-Liouville equations, bifurcation theory, critical groups