2 papers
math.DG2026
The relative isoperimetric profile of a unit square with a central square removed
Kyle Byassee, Hunter Johnson, Brandon Jones +1
We calculate the exact values of the relative isoperimetric profile for a unit square with a central square removed. In other words, given a removed central square of a fixed size,…
math.CA2025
Upper and Lower Solution Method for Regular Discrete Second-Order Single-Variable BVPs
Shalmali Bandyopadhyay, Kyle Byassee, Curt Lynch
This paper investigates the existence of positive solutions for regular discrete second-order single-variable boundary value problems with mixed boundary conditions, including a no…