showing 5 related works from this author
On the regularity of critical and minimal sets of a free interface problem
2015
We study a free interface problem of finding the optimal energy configuration for mixtures of two conducting materials with an additional perimeter penalization of the interface. We employ the regularity theory of linear elliptic equations to study the possible opening angles of Taylor cones and to give a different proof of a partial regularity result by Fan Hua Lin [Calc Var. Partial Differential Equations, 1993].
GLOBAL TRANSLATION OF COELIAC DISEASE HISTOLOGY AND OTHER GLUTEN RELATED MICROENTEROPATHY
2019
Introduction Intestinal epithelial cell damages generated by inflammation in coeliac disease (CD) ranges from sub-microscopic to severe architectural distortion. Translation of quantitative morphological changes in intestinal microorgans, like villus/crypt transformation, distribution of inflammatory cells and diagnostic cut offs, is lacking for CD and gluten related micro-enteropathies. Method Investigators from 22 centres, 9 countries of 4 continents, recruited CD patients with Marsh 0-II histology (n=299), NCGS (n=151), and 262 controls. Based on an agreed protocol, epithelial morphology including intraepithelial lymphocyte (IEL) density, villus height and crypt depth were measured in we…
Gluten Induces Subtle Histological Changes in Duodenal Mucosa of Patients with Non-Coeliac Gluten Sensitivity : A Multicentre Study
2022
Background: Histological changes induced by gluten in the duodenal mucosa of patients with non-coeliac gluten sensitivity (NCGS) are poorly defined. \ud \ud \ud \ud Objectives: To evaluate the structural and inflammatory features of NCGS compared to controls and coeliac disease (CeD) with milder enteropathy (Marsh I-II). \ud \ud \ud \ud Methods: Well-oriented biopsies of 262 control cases with normal gastroscopy and histologic findings, 261 CeD, and 175 NCGS biopsies from 9 contributing countries were examined. Villus height (VH, in μm), crypt depth (CrD, in μm), villus-to-crypt ratios (VCR), IELs (intraepithelial lymphocytes/100 enterocytes), and other relevant histological, serologic, and…
A quantitative isoperimetric inequality for fractional perimeters
2011
Abstract Recently Frank and Seiringer have shown an isoperimetric inequality for nonlocal perimeter functionals arising from Sobolev seminorms of fractional order. This isoperimetric inequality is improved here in a quantitative form.
Stationary sets and asymptotic behavior of the mean curvature flow with forcing in the plane
2020
We consider the flat flow solutions of the mean curvature equation with a forcing term in the plane. We prove that for every constant forcing term the stationary sets are given by a finite union of disks with equal radii and disjoint closures. On the other hand for every bounded forcing term tangent disks are never stationary. Finally in the case of an asymptotically constant forcing term we show that the only possible long time limit sets are given by disjoint unions of disks with equal radii and possibly tangent. peerReviewed