3 papers
math.MG2025
On the Density Problem in Heisenberg Rectifiability
Kennedy Obinna Idu
We resolve a problem posed by Mattila, Serapioni and Serra Cassano concerning the role of density assumptions in the characterization of rectifiable sets of low codimension in Heis…
math.CA2024
The planar Plateau's problem via capillarity
Kennedy Obinna Idu
The Plateau's problem seeks to determine a surface of minimal area which spans a given boundary. It is widely studied for its varied mathematical formulations, applications and rel…
math.AP2024
Alexandrov's estimate revisited
Charles Griffin, Kennedy Obinna Idu, Robert L. Jerrard
Alexandrov's estimate states that if is a bounded open convex domain in and is a convex solution of the Monge-Ampere equation $\det…