1 citations · 2 across the 7 of their papers we have counts for
7 papers
An essential one sided boundary singularity for a -dimensional area minimizing current in
Ian Fleschler
We construct a -dimensional area minimizing current in whose boundary contains a real analytic surface of multiplicity at which has a density esse…
On the uniqueness of tangent cones to area minimizing currents at boundaries with arbitrary multiplicity
Ian Fleschler
We consider an area minimizing current in a submanifold of , with arbitrary integer boundary multiplicity where is a…
On the regularity of area minimizing currents at boundaries with arbitrary multiplicity
Ian Fleschler, Reinaldo Resende
In this paper, we consider an area minimizing integral -current within a submanifold of , taking a boundary with arbitrary multiplicity $Q \in \mat…
Allard-type regularity theory for area minimizing currents at boundaries with arbitrary multiplicity
Ian Fleschler
This is an announcement of a series of upcoming works on boundary regularity for area minimizing currents, one of which is in collaboration with Reinaldo Resende. The setting we co…
Carleson's conjecture in higher dimensions
Ian Fleschler, Xavier Tolsa, Michele Villa
In this paper we prove a higher dimensional analogue of Carleson's conjecture. Given two arbitrary disjoint open sets , and $x\in\m…
An elementary rectifiability lemma and some applications
Camillo De Lellis, Ian Fleschler
We generalize a classical theorem of Besicovitch, showing that, for any positive integers , if is a Souslin set which is not --finite,…
Faber-Krahn inequalities, the Alt-Caffarelli-Friedman formula, and Carleson's conjecture in higher dimensions
Ian Fleschler, Xavier Tolsa, Michele Villa
The main aim of this article is to prove quantitative spectral inequalities for the Laplacian with Dirichlet boundary conditions. More specifically, we prove sharp quantitative sta…