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

Lee, Mikyoung; Ok, Jihoon; Pyo, Juncheol

doi:10.1016/j.jde.2024.03.003

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

Lee, Mikyoung;
Ok, Jihoon;
Pyo, Juncheol

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초록

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.

키워드

Differential form; Calder & oacute; n-Zygmund estimate; p -Laplacian; Discontinuous coefficient; ELLIPTIC-EQUATIONS; GRADIENT; REGULARITY; MINIMIZERS; CALCULUS

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

저자: Lee, Mikyoung; Ok, Jihoon; Pyo, Juncheol

DOI: 10.1016/j.jde.2024.03.003

발행일: 2024-07-15

유형: Article

저널명: Journal of Differential Equations

권: 397

페이지: 262 ~ 288