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regularity of solutions of PDEs.

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Open problem 1.28: $W^{1,1}$ regularity for optimal transport map

The problem has indeed been solved by De Philippis-Figalli. The reference is: https://link.springer.com/article/10.1007/s00222-012-0405-4 the paper linked above is a subsequent, related, development o …
Nicola Gigli's user avatar