Max Goering

activity

20182020

most citedWild examples of rectifiable sets

1 citations · 1 across the 2 of their papers we have counts for

collaborators

4 papers

math.DG2020

A geometric proof of regularity of all anisotropic minimal surfaces in $R^{2}$

Max Goering

A set of locally finite perimeter $E \subset R^{n}$ is called an anisotropic minimal surface in an open set $A$ if $Φ (E; A) \leq Φ (F; A)$ for some surface energy $Φ(E;A) = \i…

math.CA2019

Two Phase Free Boundary Problem for Poisson Kernels

Simon Bortz, Max Engelstein, Max Goering +2

We provide a potential theoretic characterization of vanishing chord-arc domains under minimal assumptions. In particular we show that, if a domain has Ahlfors regular boundary, th…

math.CA2019★ 1 cited

Wild examples of rectifiable sets

Max Goering, Sean McCurdy

We study the geometry of sets based on the behavior of the Jones function, $J_{E} (x) = \int_{0}^{1} β_{E; 2}^{1} (x, r)^{2} \frac{d r}{r}$ . We construct two examples of countably $1$ -r…

math.CA2018

Characterizations of countably $n$ -rectifiable Radon measures by higher-dimensional Menger curvatures

Max Goering

In the late `90s there was a flurry of activity relating $1$ -rectifiable sets, boundedness of singular integral operators, the analytic capacity of a set, and the integral Menger c…

A geometric proof of regularity of all anisotropic minimal surfaces in R2

Two Phase Free Boundary Problem for Poisson Kernels

Wild examples of rectifiable sets

Characterizations of countably n-rectifiable Radon measures by higher-dimensional Menger curvatures

A geometric proof of regularity of all anisotropic minimal surfaces in $R^{2}$

Characterizations of countably $n$ -rectifiable Radon measures by higher-dimensional Menger curvatures