Optimal regularity of isoperimetric sets with Hölder densities
- We establish a regularity result for optimal sets of the isoperimetric problem with double density under mild Hölder regularity assumptions on the density functions. Our main Theorem improves some previous results and allows to reach the optimal regularity class C1,α2−α in any dimension.
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| Author: | Lisa BeckGND, Eleonora Cinti, Christian Seis |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-1035467 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/103546 |
| Parent Title (English): | Calculus of Variations and Partial Differential Equations |
| Publisher: | Springer |
| Place of publication: | Berlin |
| Type: | Article |
| Language: | English |
| Year of first Publication: | 2023 |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2023/04/13 |
| Volume: | 62 |
| First Page: | 214 |
| DOI: | https://doi.org/10.1007/s00526-023-02542-2 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehr- und Forschungseinheit Angewandte Analysis | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |
