Regularity for multi-phase variational problems
We prove C1,ν -regularity for local minimizers of the multi-phase energy: w →ˆ|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.
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
Elsevier
2019
|