Nonlinear Calderón–Zygmund theory involving dual data

Mikyoung Lee; Jihoon Ok

doi:10.4171/rmi/1078

JournalsrmiVol. 35, No. 4pp. 1053–1078

Nonlinear Calderón–Zygmund theory involving dual data

Mikyoung Lee
Pusan National University, Busan, Republic of Korea
- MathSciNet
- zbMATH Open
Jihoon Ok
Kyung Hee University, Yongin, Republic of Korea
- MathSciNet
- zbMATH Open

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Abstract

We consider elliptic equations of the $p$ -Laplace type with dual data. We obtain interior and boundary gradient estimates for their weak solutions under sharp conditions on the dual data, coefficients and boundaries of their domains.

Cite this article

Mikyoung Lee, Jihoon Ok, Nonlinear Calderón–Zygmund theory involving dual data. Rev. Mat. Iberoam. 35 (2019), no. 4, pp. 1053–1078

DOI 10.4171/RMI/1078