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arXiv · 2003.05340

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

Aleks Jevnikar·Andrea Malchiodi·Ruijun Wu
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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.

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Aleks Jevnikar, Andrea Malchiodi, Ruijun Wu. 2020-03-11. Existence results for super-Liouville equations on the sphere via bifurcation theory. https://doi.org/10.4208/jms.v54n1.21.05

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