Calculus of Variations and Geometric Measure Theory
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A. Jevnikar - A. Malchiodi - R. Wu

Existence results for a super-Liouville equation on compact surfaces

created by jevnikar on 26 Sep 2019

[BibTeX]

Preprint

Inserted: 26 sep 2019
Last Updated: 26 sep 2019

Year: 2019

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.

Keywords: super-Liouville equation, existence results, min-max methods


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