Regularity for multi-phase problems at nearly linear growth
Year: 2024
Type: article
Abstract: Minima of the log-multiphase variational integral $$ w \mapsto \int_Ω \left[|Dw|\log(1+|Dw|) + a(x)|Dw|^q + b(x)|Dw|^s\right] \, {\rm d}x\,, $$ have locally Hölder continuous gradient under sharp quantitative bounds linking the growth powers $(q,s)$ to the Hölder exponents of the modulating coefficients $a(\cdot)$ and $b(\cdot)$ respectively.
Authors: Filomena De Filippis, Mirco Piccinini
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,050
OpenAlex ID: W4401872304