A note on mean field type equations
Abstract In this article, we provide a note on rigidity results for mean field-type equations with multiple exponential terms, including sinh-Gordon and Tzitzeica equations, on closed two-dimensional manifolds with positive Ricci curvature bounds. It is based on two nonlinear transformations and a geometric identity developed by Dolbeault et al.
Authors
- Senping Luo (ORCID: https://orcid.org/0000-0002-0743-2311)
- K. Deng
Institutions
- Jiangxi Normal University (CN)
Publication Details
- Journal
- Demonstratio Mathematica
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1515/dema-2025-0120
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China