Existence results for a super-liouville equation on compact surfaces

Aleks Jevnikar; Andrea Malchiodi; Ruijun Wu

doi:10.1090/tran/8209

Existence results for a super-liouville equation on compact surfaces

Aleks Jevnikar
, Andrea Malchiodi
, Ruijun Wu

Department of Mathematics
University of Udine
Scuola Normale Superiore di Pisa

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

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.

Original language	English
Pages (from-to)	8837-8859
Number of pages	23
Journal	Transactions of the American Mathematical Society
Volume	373
Issue number	12
DOIs	https://doi.org/10.1090/tran/8209
Publication status	Published - Dec 2020
Externally published	Yes

Keywords

Existence results
Min-max methods
Super-Liouville equation

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10.1090/tran/8209

Cite this

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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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Existence results for a super-liouville equation on compact surfaces

Abstract

Keywords

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