English

Calder\'on-Zygmund estimates for nonlinear equations of differential forms with BMO coefficients

Analysis of PDEs 2023-11-07 v1

Abstract

We obtain LqL^q-regularity estimates for weak solutions to pp-Laplacian type equations of differential forms. In particular, we prove local Calder\'on-Zygmund type estimates for equations with discontinuous coefficients satisfying the bounded mean oscillation (BMO) condition.

Keywords

Cite

@article{arxiv.2311.02933,
  title  = {Calder\'on-Zygmund estimates for nonlinear equations of differential forms with BMO coefficients},
  author = {Mikyoung Lee and Jihoon Ok and Juncheol Pyo},
  journal= {arXiv preprint arXiv:2311.02933},
  year   = {2023}
}