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 |
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Pages (from-to) | 8837-8859 |
Number of pages | 23 |
Journal | Transactions of the American Mathematical Society |
Volume | 373 |
Issue number | 12 |
DOIs | |
Publication status | Published - Dec 2020 |
Externally published | Yes |
Keywords
- Existence results
- Min-max methods
- Super-Liouville equation