Calculus of Variations and Geometric Measure Theory

A. Jevnikar - A. Malchiodi - R. Wu

Existence results for super-Liouville equations on the sphere via bifurcation theory

created by wu1 on 11 Mar 2020
modified by jevnikar on 01 Feb 2021


Accepted Paper

Inserted: 11 mar 2020
Last Updated: 1 feb 2021

Journal: J. Math. Study
Year: 2020


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