Geodesic
On a problem of Zygmund
Matematičeskie zametki, Tome 64 (1998) no. 5, pp. 749-762.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that there exists an integrable function on $[0,1]^2$ whose integral is nondifferentiable in each direction belonging to a set everywhere dense in $[0,2\pi]$ but is strongly differentiable. 
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A. M. Stokolos. On a problem of Zygmund. Matematičeskie zametki, Tome 64 (1998) no. 5, pp. 749-762. http://geodesic.mathdoc.fr/item/MZM_1998_64_5_a11/

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