3 citations · 8 across the 3 of their papers we have counts for
3 papers
math.AP2020★ 2 cited
Existence and regularity results for the penalized thin obstacle problem with variable coefficients
Donatella Danielli, Brian Krummel
In this paper we give a comprehensive treatment of a two-penalty boundary obstacle problem for a divergence form elliptic operator, motivated by applications to fluid dynamics and…
math.AP2017★ 3 cited
Fine properties of branch point singularities: Dirichlet energy minimizing multi-valued functions
Brian Krummel, Neshan Wickramasekera
In the early 1980's Almgren developed a theory of Dirichlet energy minimizing multi-valued functions, proving that the Hausdorff dimension of the singular set (including branch poi…
math.OC2017★ 3 cited
Higher codimension relative isoperimetric inequality outside a convex set
Brian Krummel
We consider an isoperimetric inequality for -dimensional area minimizing submanifolds of arbitrary codimension which lie outside a convex set $\mathcal{K} \subset \mathbb{R}…