Entropy for Monge-Ampère Measures in the Prescribed Singularities Setting
In this note, we generalize the notion of entropy for potentials in a relatively full Monge-Ampère mass ℰ(, , ), for a model potential . We then investigate stability properties of this condition with respect to blow-ups and perturbation of the cohomology class. We also prove a Moser-Trudinger type...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2024 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2024
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/212156 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Entropy for Monge-Ampère Measures in the Prescribed Singularities Setting. Eleonora Di Nezza, Stefano Trapani and Antonio Trusiani. SIGMA 20 (2024), 039, 19 pages |