English

Regularity results for quasiminima of a class of double phase problems

Analysis of PDEs 2024-07-12 v5 Metric Geometry

Abstract

We prove boundedness, H\"older continuity, Harnack inequality results for local quasiminima to elliptic double phase problems of pp-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.

Keywords

Cite

@article{arxiv.2308.01221,
  title  = {Regularity results for quasiminima of a class of double phase problems},
  author = {Antonella Nastasi and Cintia Pacchiano Camacho},
  journal= {arXiv preprint arXiv:2308.01221},
  year   = {2024}
}

Comments

arXiv admin note: text overlap with arXiv:2304.14858