I. Athanasopoulos, L. Caffarelli & E. Milakis A Parabolic Almgren’s Monotonicity Formula for degenerate operators and applications, (2018). Preprint, 26 pages.

I. Athanasopoulos, L. Caffarelli & E. Milakis Parabolic Obstacle Problems. Quasi-convexity Regularity, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) (2019) Vol XIX 1-45.

I. Athanasopoulos, L. Caffarelli & E. Milakis On the regularity of the Non-dynamic Fractional Obstacle Problem,  J. Differential Equations (2018), 265, no 6, 2614-2647.

G. Chatzigeorgiou & E. Milakis  Regularity for Fully Nonlinear Parabolic Equations with Oblique Boundary Data,  Rev. Mat. Iberoam. (2021), 2, 775-820.

G. Chatzigeorgiou  Regularity for the fully nonlinear parabolic thin obstacle problem,  Commun. Contemp. Math. 24 (2022), no 3, Paper no 2150011, 22pp.

Publications relevant to the project:

I. Athanasopoulos, L. Caffarelli & E. Milakis The Two-Phase Stefan problem with Anomalous Diffusion, Advances in Math. 406 (2022) 108527.

C. Labourie & E. Milakis Higher integrability of the gradient for the Thermal Insulation problem, Interfaces & Free Boundaries (2022) to appear.

C. Labourie & A. Lemenant Regularity improvement for the minimizers of the two-dimensional Griffith energy, (2021). Submitted.

C. Labourie & E. Milakis The calibration method for the Thermal Insulation Functional, ESAIM: Control, Optimisation and Calculus of Variations (2022) to appear.