High contrast elliptic operators in honeycomb structures

Maxence Cassier, Michael I. Weinstein

We study the band structure of self-adjoint elliptic operators ${\mathbb{A}}_g=-\nabla \cdot {\sigma }_g\nabla$, where ${\sigma }_g$ has the symmetries of a honeycomb tiling of ${\mathbb{R}}^2$. W…