Minima of the log-multiphase variational integral w↦∫Ω[|Dw|log(1+|Dw|)+a(x)|Dw|q+b(x)|Dw|s]dx, have locally Hölder continuous gradient under sharp quantitative bounds linking the growth powers (q,s) to the Hölder exponents of the modulating coefficients a(⋅) and b(⋅) respectively.
Regularity for multi-phase problems at nearly linear growth
Piccinini, Mirco
2024-01-01
Abstract
Minima of the log-multiphase variational integral w↦∫Ω[|Dw|log(1+|Dw|)+a(x)|Dw|q+b(x)|Dw|s]dx, have locally Hölder continuous gradient under sharp quantitative bounds linking the growth powers (q,s) to the Hölder exponents of the modulating coefficients a(⋅) and b(⋅) respectively.File in questo prodotto:
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