Abstract
In this note we derive some maximum principle for an appropriate function involving u, Du and \(D^2 u\), where \(u=u(x)\) is a convex solution to a Monge–Ampère equation in a plane domain.
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Cristian Enache was supported by an FRG grant from the American University of Sharjah, project number FRG20-S-S117.
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Enache, C., Porru, G. A Note on Monge–Ampère Equation in \({\mathbb {R}}^{2}\). Results Math 76, 29 (2021). https://doi.org/10.1007/s00025-020-01339-5
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DOI: https://doi.org/10.1007/s00025-020-01339-5