7 citations · 7 across the 14 of their papers we have counts for
13 papers · 1 filter
Optimality in nonlocal time-dependent obstacle problems
Ioannis Athanasopoulos, Luis Caffarelli, Emmanouil Milakis
This paper showcases the effectiveness of the quasiconvexity property in addressing the optimal regularity of the temporal derivative and establishes conditions for its continuity…
Systems of Fully Nonlinear Degenerate Elliptic Obstacle problems with Dirichlet boundary conditions
S. Andronicou, E. Milakis
In this paper we prove existence and uniqueness of viscosity solutions of elliptic systems associated to fully nonlinear operators for minimization problems that involve interconne…
The Two-Phase Stefan Problem with Anomalous Diffusion
Ioannis Athanasopoulos, Luis Caffarelli, Emmanouil Milakis
The non-local in space two-phase Stefan problem (a prototype in phase change problems) can be formulated via a singular nonlinear parabolic integro-differential equation which admi…
The calibration method for the Thermal Insulation functional
Camille Labourie, Emmanouil Milakis
We provide minimality criteria by construction of calibrations for functionals arising in the theory of Thermal Insulation.
Higher integrability of the gradient for the Thermal Insulation problem
Camille Labourie, Emmanouil Milakis
We prove the higher integrability of the gradient for minimizers of the thermal insulation problem, an analogue of De Giorgi's conjecture for the Mumford-Shah functional. We deduce…
Regularity for Fully Nonlinear Parabolic Equations with Oblique Boundary Data
Georgiana Chatzigeorgiou, Emmanouil Milakis
We obtain up to a flat boundary regularity results in parabolic Hölder spaces for viscosity solutions of fully nonlinear parabolic equations with oblique boundary conditions.