Regularity results for isoperimetric sets with density

Authors

  • Eleonora Cinti Dipartimento di Matematica, Università di Bologna

DOI:

https://doi.org/10.6092/issn.2240-2829/18847

Keywords:

Isoperimetric problem with density, Regularity for minimizers of variational functionals

Abstract

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 C1, alpha/(2-alpha) for the reduced boundary of such sets.

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Published

2024-01-09

How to Cite

Cinti, E. (2023). Regularity results for isoperimetric sets with density. Bruno Pini Mathematical Analysis Seminar, 14(2), 22–41. https://doi.org/10.6092/issn.2240-2829/18847

Issue

Vol. 14 No. 2 (2023): Seminars 2023

Section

Articles

License

Copyright (c) 2023 Eleonora Cinti

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 Unported License.