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.

Existence results for a super-Liouville equation on compact surfaces

Aleks Jevnikar
;
Andrea Malchiodi;Ruijun Wu
2020

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.
2020
Settore MAT/05 - Analisi Matematica
super-Liouville equation, existence results, min-max methods
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/81855
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