Emmanouil D. Milakis

collaborators

3 papers

math.AP2026

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…

math.GN2024

Sufficent Conditions for the preservation of Path-Connectedness in an arbitrary metric space

Savvas Andronicou, Emmanouil Milakis

It is proven that if $(X, d)$ is an arbitrary metric space and $U$ is a path-connected subset of $X$ with $M := {x_{i} : i \in {1, 2, \dots, k}} \subset in t (U)$ , then the property…

math.GN2024

Sufficent Conditions for the preservation of Polygonal-Connectedness in an arbitrary normed space

Savvas Andronicou, Emmanouil Milakis

In this article we prove that if $X$ is a normed space and $U$ is a polygonally-connected subset of $X$ with $M := {S_{i} : i \in I} \subset P (U)$ , a non-e…