@article{Cinti_2024, title={Regularity results for isoperimetric sets with density}, volume={14}, url={https://mathematicalanalysis.unibo.it/article/view/18847}, DOI={10.6092/issn.2240-2829/18847}, abstractNote={<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>}, number={2}, journal={Bruno Pini Mathematical Analysis Seminar}, author={Cinti, Eleonora}, year={2024}, month={Jan.}, pages={22–41} }