Calderón-Zygmund estimates for nonlinear equations of differential forms with BMO coefficients

We obtain L q -regularity estimates for weak solutions to p -Laplacian type equations of differential forms. In particular, we prove local Calder & oacute;n-Zygmund type estimates for equations with discontinuous coefficients satisfying the bounded mean oscillation (BMO) condition. (c) 2024 Elsevier Inc. All rights reserved.