Accepted Paper

Inserted: 11 mar 2020
Last Updated: 1 feb 2021

Journal: J. Math. Study
Year: 2020

Abstract:

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

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• Existence_for_super_Liouville-sphere.pdf