Existence Results for Super-Liouville Equations on the Sphere via Bifurcation Theory

Authors

  • Aleks Jevnikar Department of Mathematics, Computer Science and Physics, University of Udine, Via delle Scienze 206, 33100 Udine, Italy
  • Andrea Malchiodi Scuola Normale Superiore, Piazza dei Cavalieri 7, 50126 Pisa, Italy
  • Ruijun Wu Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy

DOI:

https://doi.org/10.4208/jms.v54n1.21.05

Keywords:

Super-Liouville equations, existence results, bifurcation theory, critical groups.

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.

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Published

2021-11-08

Issue

Vol. 54 No. 1 (2021)

Section

Articles