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arXiv:2311.02933 [math.AP]AbstractReferencesReviewsResources

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

Mikyoung Lee, Jihoon Ok, Juncheol Pyo

Published 2023-11-06Version 1

We obtain $L^q$-regularity estimates for weak solutions to $p$-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.

Categories: math.AP
Subjects: 35J92, 35B65, 35D30
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