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

2023/11/06 by Lee, Mikyoung, Ok, Jihoon, Pyo, Juncheol
#35B65 #35D30 #35J92 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2311.02933

Abstract

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

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