N. Nikolov

activity

20062026

most citedEstimates of the Kobayashi and quasi-hyperbolic distances

20 citations · 144 across the 48 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.AP2024

Boundary regularity for the distance functions, and the eikonal equation

Nikolai Nikolov, Pascal J. Thomas

We study the gain in regularity of the distance to the boundary of a domain in $R^{m}$ . In particular, we show that if the signed distance function happens to be merely diffe…

math.CV2024

Visible $C^{2}$ -smooth domains are pseudoconvex

Nikolai Nikolov, Ahmed Yekta Ökten, Pascal J. Thomas

We show that a domain that satisfies the visibility property with $C^{2}$ -smooth boundary is pseudoconvex.

math.MG2024

Lipschitzness of the width and diameter functions of convex bodies in $R^{n}$

Oleg Mushkarov, Nikolai Nikolov, Pascal J. Thomas

Lipschitz constants for the width and diameter functions of a convex body in $R^{n}$ are found in terms of its diameter and thickness (maximum and minimum of both functions).…

Boundary regularity for the distance functions, and the eikonal equation

Visible C2-smooth domains are pseudoconvex

Lipschitzness of the width and diameter functions of convex bodies in Rn

Visible $C^{2}$ -smooth domains are pseudoconvex

Lipschitzness of the width and diameter functions of convex bodies in $R^{n}$