2 citations · 2 across the 3 of their papers we have counts for
3 papers
math.DG2024
On constant mean curvature surfaces satisfying integrable boundary conditions
Martin Kilian
We consider the local theory of constant mean curvature surfaces that satisfy one or two integrable boundary conditions and determine the corresponding potentials for the generaliz…
math.DG2020★ 2 cited
On the elliptic sinh-Gordon equation with Durham boundary conditions
Martin Kilian, Graham Smith
We adapt Sklyanin's -matrix formalism to the sinh-Gordon equation, and prove that all free boundary constant mean curvature (CMC) annuli in the unit ball in are o…
hep-th2018
Sur un système intégrable à bord
Martin Kilian, Graham Smith
[French] We develop new applications of Sklyanin's -matrix formalism to the study of periodic solutions of the sinh-Gordon equation.