We prove C 1,ν -regularity for local minimizers of the multi-phase energy: w↦∫Ω|Dw| p +a(x)|Dw| q +b(x)|Dw| s dx, under sharp assumptions relating the couples (p,q) and (p,s) to the Hölder exponents of the modulating coefficients a(⋅) and b(⋅), respectively.
Regularity for multi-phase variational problems
De Filippis C.;
2019-01-01
Abstract
We prove C 1,ν -regularity for local minimizers of the multi-phase energy: w↦∫Ω|Dw| p +a(x)|Dw| q +b(x)|Dw| s dx, under sharp assumptions relating the couples (p,q) and (p,s) to the Hölder exponents of the modulating coefficients a(⋅) and b(⋅), respectively.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
1807.02880.pdf
Accesso riservato
Tipo di file:
PREPRINT (PRIMA BOZZA)
Dimensione
295.83 kB
Formato
Adobe PDF
|
295.83 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.