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arXiv · 1909.12260

Existence results for a super-Liouville equation on compact surfaces

Aleks Jevnikar·Andrea Malchiodi·Ruijun Wu
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Abstract

We are concerned with a super-Liouville equation on compact surfaces with genus larger than one, obtaining the first non-trivial existence result for this class of problems via min-max methods. In particular we make use of a Nehari manifold and, after showing the validity of the Palais-Smale condition, we exhibit either a mountain pass or linking geometry.

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Aleks Jevnikar, Andrea Malchiodi, Ruijun Wu. 2019-09-26. Existence results for a super-Liouville equation on compact surfaces. https://doi.org/10.1090/tran%2F8209

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