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math.MG2026
Spherically Supported Sets with Variable Radii
Chadi Nour
We study closed sets for which, at every boundary point, there exists a containing supporting ball whose prescribed radius may vary from point to point. This extends the notion of…
math.OC2026
Optimal Control of Sweeping Processes with Nonsmooth Moving Sets: A Numerical Algorithm
Chadi Nour
This paper extends the numerical method introduced by de Pinho et al. [22] and later developed in Nour and Zeidan [33, 37] to the nonautonomous case where the nonsmooth sweeping se…
math.MG2026
Validity of the Strong Version of the Union of Uniform Closed Balls Conjecture in the Plane
Chadi Nour, Jean Takche
We prove the validity of the strong version of the union of uniform closed balls conjecture, formulated in 2011 as [4, Conjecture 2.5], in the plane.