Existence results for super-Liouville equations on the sphere via bifurcation theory
Analysis of PDEs
2021-02-02 v1 Mathematical Physics
math.MP
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
Cite
@article{arxiv.2003.05340,
title = {Existence results for super-Liouville equations on the sphere via bifurcation theory},
author = {Aleks Jevnikar and Andrea Malchiodi and Ruijun Wu},
journal= {arXiv preprint arXiv:2003.05340},
year = {2021}
}
Comments
23pages