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ERC Consolidator Grant · 2016

Regularity and Stability in Partial Differential Equations

This project focuses on several problems in Partial Differential Equations (PDEs) and the Calculus of Variations. These include: - Optimal transport and Monge-Ampère equations. In the last 30 years, the optimal transport problem has been found to be useful to several areas of mathematics. In particular, this problem is related to Monge-Ampère type equations, and understanding the regularity properties of solutions to such equations is an important question with applications to several other fields. - Stability in functional and geometric inequalities. Whether a minimizer of some inequality is "stable'' in some suitable sense is an important issue in order to understand and/or predict the…

From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.

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