Fine properties of branch point singularities: stationary two-valued graphs and stable minimal hypersurfaces near points of density $<3$

Brian Krummel, Neshan Wickramasekera

We study (higher order) asymptotic behaviour near branch points of stationary $n$-dimensional two-valued $C^{1,\mu }$ graphs in an open subset of ${\mathbb{R}}^{n+m}$. Specifically, i…