On the elliptic sinh-Gordon equation with Durham boundary conditions

Abstract

We adapt Sklyanin's $K$-matrix formalism to the sinh-Gordon equation, and prove that all free boundary constant mean curvature (CMC) annuli in the unit ball in ${\mathbb{R}}^3$ are of finite type.

References in corpus (1)

• Breaking integrability at the boundary: the sine-Gordon model with Robin boundary conditions