Published Paper

Inserted: 19 sep 2023
Last Updated: 6 aug 2024

Journal: MATHEMATISCHE ANNALEN
Year: 2024
Doi: https://doi.org/10.1007/s00208-024-02947-0

Abstract:

We prove boundedness, Holder continuity, Harnack inequality results for local quasiminima to elliptic double phase problems of p-Laplace type in the general context of metric measure spaces. The proofs follow a variational approach and they are based on the De Giorgi method, a careful phase analysis and estimates in the intrinsic geometries.