EUDML

Currently displaying 1 – 6 of 6

Order by Relevance | Title | Year of publication

An Elementary Approach to Local Solvability for Constant Coefficient Partial Differential Equations.

David Jerison — 1990

Forum mathematicum

Regularity of the Poisson kernel and free boundary problems

David Jerison — 1990

Colloquium Mathematicae

Asymptotics of the first nodal line

Daniel Grieser; David Jerison — 1995

Journées équations aux dérivées partielles

Quantitative stability for sumsets in $ℝ^{n}$

Alessio Figalli; David Jerison — 2015

Journal of the European Mathematical Society

Given a measurable set $A \subset ℝ^{n}$ of positive measure, it is not difficult to show that $| A + A | = | 2 A |$ if and only if $A$ is equal to its convex hull minus a set of measure zero. We investigate the stability of this statement: If $(| A + A | - | 2 A |) / | A |$ is small, is $A$ close to its convex hull? Our main result is an explicit control, in arbitrary dimension, on the measure of the difference between $A$ and its convex hull in terms of $(| A + A | - | 2 A |) / | A |$ .