Giuseppe Mingione (born 28 August 1972) is an Italian mathematician who is active in the fields of partial differential equations and calculus of variations.

This question found a positive answer for general integral functionals, thanks to the work of Kristensen and Mingione, who also gave explicit estimates for the dimension of the singular sets of minimisers.

Such estimates allow to give a unified approach to the regularity theory of quasilinear, degenerate equations[4][5][6] and relate to and upgrade previous work of Kilpeläinen, Malý, Trudinger, Wang.

Together with Cristiana De Filippis, Mingione proved a Schauder type theory for nonuniformly elliptic equations and functionals.

[10] Mingione is listed as an ISI highly cited researcher[11] and was invited to deliver the ETH Zürich Nachdiplom Lectures in 2015.