Regularity results for quasiminima of a class of double phase problems

Abstract

We prove boundedness, Hölder 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.

arXiv admin note: text overlap with arXiv:2304.14858