Zobrazeno 1 - 10
of 56
pro vyhledávání: '"Goering, Max"'
Autor:
Goering, Max, Koch, Lukas
Publikováno v:
Comptes Rendus. Mathématique, Vol 361, Iss G7, Pp 1091-1105 (2023)
We obtain improved fractional differentiability of solutions to the Banach-space valued Finsler $\gamma $-Laplacian defined on a $\sigma $-convex, $\tau $-smooth Banach space. The operators we consider are non-linear and very degenerately elliptic. O
Externí odkaz:
https://doaj.org/article/b89c74cf98d4485da5d391704c99d51d
Let $s \in [0,1]$. We show that a Borel set $N \subset \mathbb{R}^{2}$ whose every point is linearly accessible by an $s$-dimensional family of lines has Hausdorff dimension at most $2 - s$.
Comment: 43 pages, 1 figure
Comment: 43 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2407.00306
Characterizing rectifiability of Radon measures in Euclidean space has led to fundamental contributions to geometric measure theory. Conditions involving existence of principal values of certain singular integrals \cite{mattila1995rectifiable} and th
Externí odkaz:
http://arxiv.org/abs/2311.00589
Autor:
Goering, Max, Skorobogatova, Anna
The interior regularity of area-minimizing integral currents and semi-calibrated currents has been studied extensively in recent decades, with sharp dimension estimates established on their interior singular sets in any dimension and codimension. In
Externí odkaz:
http://arxiv.org/abs/2309.09634
Autor:
Goering, Max, Koch, Lukas
We obtain improved fractional differentiability of solutions to the Banach-space valued Finsler $\gamma$-Laplacian defined on a $\sigma$-convex, $\tau$-smooth Banach space. The operators we consider are non-linear and very degenerately elliptic. Our
Externí odkaz:
http://arxiv.org/abs/2207.01544
Autor:
Goering, Max, Weiss, Christian
The distributional properties of the translation flow on the unit square have been considered in different fields of mathematics, including algebraic geometry and discrepancy theory. One method to quantify equidistribution is to compare the error bet
Externí odkaz:
http://arxiv.org/abs/2201.00841
Autor:
Goering, Max
We study regularity of the Finsler $\gamma$-Laplacian, a general class of degenerate elliptic PDEs which naturally appear in anisotropic geometric problems. Precisely, given any strictly convex family of $C^{1}$-norms $\{ \rho_{x}\}$ on $\mathbb{R}^{
Externí odkaz:
http://arxiv.org/abs/2008.08028
Autor:
Goering, Max
A set of locally finite perimeter $E \subset \mathbb{R}^{n}$ is called an anisotropic minimal surface in an open set $A$ if $\Phi(E;A) \le \Phi(F;A)$ for some surface energy $\Phi(E;A) = \int_{\partial^{*}E \cap A} \| \nu_{E}\| d \mathcal{H}^{n-1}$ a
Externí odkaz:
http://arxiv.org/abs/2007.12953
Publikováno v:
Unif. Distrib. Theory 16 (2021), no.1, 53-70
We provide an algorithm to approximate a finitely supported discrete measure $\mu$ by a measure $\nu_{N}$ corresponding to a set of $N$ points so that the total variation between $\mu$ and $\nu_N$ has an upper bound. As a consequence if $\mu$ is a (f
Externí odkaz:
http://arxiv.org/abs/2003.13122
Autor:
Ghinassi, Silvia, Goering, Max
We further develop the relationship between $\beta$-numbers and discrete curvatures to provide a new proof that under weak density assumptions, finiteness of the pointwise discrete curvature $\operatorname{curv}^{\alpha}_{\mu;2}(x,r)$ at $\mu$- a.e.
Externí odkaz:
http://arxiv.org/abs/1908.11471