B. Krummel

activity

20112026

most citedFine properties of branch point singularities: Two-valued harmonic functions

13 citations · 23 across the 12 of their papers we have counts for

collaborators

Showing 2017Show all

3 papers · 1 filter

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 $(m + 1)$ -dimensional area minimizing submanifolds of arbitrary codimension which lie outside a convex set $\mathcal{K} \subset \mathbb{R}…

math.AP2017

On the regularity of the free boundary in the $p$ -Laplacian obstacle problem

Alessio Figalli, Brian Krummel, Xavier Ros-Oton

We study the regularity of the free boundary in the obstacle for the $p$ -Laplacian, $min {- Δ_{p} u, u - φ} = 0$ in $Ω \subset R^{n}$ . Here, $Δ_p u=\textrm{div}\bigl(|\na…

Fine properties of branch point singularities: Dirichlet energy minimizing multi-valued functions

Higher codimension relative isoperimetric inequality outside a convex set

On the regularity of the free boundary in the p-Laplacian obstacle problem

On the regularity of the free boundary in the $p$ -Laplacian obstacle problem