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arXiv · 2311.02933

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

Mikyoung Lee·Jihoon Ok·Juncheol Pyo
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Abstract

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.

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Mikyoung Lee, Jihoon Ok, Juncheol Pyo. 2023-11-06. Calder\'on-Zygmund estimates for nonlinear equations of differential forms with BMO coefficients. https://arxiv.org/abs/2311.02933

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