TY - JOUR
AU - Cinti, Eleonora
PY - 2024/01/09
Y2 - 2024/07/14
TI - Regularity results for isoperimetric sets with density
JF - Bruno Pini Mathematical Analysis Seminar
JA - BPMAS
VL - 14
IS - 2
SE - Articles
DO - 10.6092/issn.2240-2829/18847
UR - https://mathematicalanalysis.unibo.it/article/view/18847
SP - 22-41
AB - <p>In this note, we present some recent regularity results for sets which minimize a weighted notion of perimeter under a weighted volume constraint. We focus on the case of two different densities which are merely alpha-Holder continuous, and describe what are the main issues and techniques used in order to establish the optimal regularity C<sup>1, alpha/(2-alpha) </sup>for the reduced boundary of such sets.</p>
ER -