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.
2019
267
3
1631
1670
Minimizer; Multi-phase; Non-uniformly elliptic problems; Regularity
De Filippis C.; Oh J.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1786848
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