| Autor: |
Beck, Lisa, Cinti, Eleonora, Seis, Christian |
| Rok vydání: |
2023 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
We establish a regularity result for optimal sets of the isoperimetric problem with double density under mild ($\alpha$-)H\"older regularity assumptions on the density functions. Our main Theorem improves some previous results and allows to reach in any dimension the regularity class $C^{1,\frac{\alpha}{2-\alpha}}$. This class is indeed the optimal one for local minimizers of variational functionals with an integrand that depends $\alpha$-H\"older continuous on the minimizer itself, and as such can (the boundary of) the isoperimetric set be locally written (with additional constraint). |
| Databáze: |
arXiv |
| Externí odkaz: |
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