In this thesis we analyze the Monge-Ampère equation and the properties of its solutions. We construct weak solutions showing their existence and uniqueness. We prove the strictly convexity of the solutions and their interior regularity theory with some fairly recent results.
On the regularity of the Monge-Ampère equation
FAVARO, GABRIELE
2023/2024
Abstract
In this thesis we analyze the Monge-Ampère equation and the properties of its solutions. We construct weak solutions showing their existence and uniqueness. We prove the strictly convexity of the solutions and their interior regularity theory with some fairly recent results.File in questo prodotto:
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Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/20.500.12608/71013