A note on mean field type equations
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2025-06-01
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| Series: | Demonstratio Mathematica |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/dema-2025-0120 |
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| Summary: | 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. |
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| ISSN: | 2391-4661 |