7 citations · 7 across the 14 of their papers we have counts for
15 papers
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…
Sufficent Conditions for the preservation of Path-Connectedness in an arbitrary metric space
Savvas Andronicou, Emmanouil Milakis
It is proven that if is an arbitrary metric space and is a path-connected subset of with , then the property…
Sufficent Conditions for the preservation of Polygonal-Connectedness in an arbitrary normed space
Savvas Andronicou, Emmanouil Milakis
In this article we prove that if is a normed space and is a polygonally-connected subset of with , a non-e…
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.