3 citations · 6 across the 7 of their papers we have counts for
8 papers
Another simple proof of the 1-dimensional flat chain conjecture
Philippe Bouafia, Thierry De Pauw
We provide a short proof of the 1-dimensional flat chain conjecture.
A regularity property of fractional Brownian sheets
Philippe Bouafia, Thierry De Pauw
A function defined on is called strongly chargeable if there is a continuous vector-field such that equals the flux of through the rectan…
A representation formula for members of SBV dual
Philippe Bouafia, Thierry De Pauw
We give an integral representation formula for members of the dual of in terms of functions that are defined on , an appropriate fiber space…
On the existence of mass minimizing rectifiable G chains in finite dimensional normed spaces
Thierry De Pauw, Ioann Vasilyev
We introduce the notion of density contractor of dimension m in a finite dimensional normed space X. If m+1=dim X this includes the area contracting projectors on hyperplanes whose…
Partial regularity of almost minimizing rectifiable G chains in Hilbert space
Thierry De Pauw, Roger Züst
We adapt to an infinite dimensional ambient space E.R. Reifenberg's epiperimetric inequality and a quantitative version of D. Preiss' second moments computations to establish that…
Existence of harmonic multiple valued maps into a separable Hilbert space
Philippe Bouafia, Thierry De Pauw, Jordan Goblet
The general existence of -Dirichlet energy minimizing maps into is obtained.
Multiple valued maps into a separable Hilbert space that almost minimize their Dirichlet energy or are squeeze and squash stationary
Philippe Bouafia, Thierry De Pauw, Changyou Wang
Let $f : U\subset\Rm \to \calQ_Q(\ell_2)$ be of Sobolev class , . If almost minimizes its Dirichlet energy then is Hölder continuous. If …
On sets minimizing their weighted length in uniformly convex separable Banach spaces
De Pauw Thierry, Lemenant Antoine, Millot Vincent
We study existence and partial regularity relative to the weighted Steiner problem in Banach spaces. We show regularity almost everywhere for almost minimizing sets in unifor…