Existence results for a super-Liouville equation on compact surfaces

26 Sep 2019 Jevnikar Aleks Malchiodi Andrea Wu Ruijun

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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