Revista Matemática Iberoamericana
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Published online: 2019-05-06
Nonlinear Calderón–Zygmund theory involving dual dataMikyoung Lee and Jihoon Ok (1) Pusan National University, Busan, Republic of Korea
(2) Kyung Hee University, Yongin, Republic of Korea
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.
Keywords: $p$-Laplace equation, weak solution, Calderón–Zygmund estimate
Lee Mikyoung, Ok Jihoon: Nonlinear Calderón–Zygmund theory involving dual data. Rev. Mat. Iberoam. 35 (2019), 1053-1078. doi: 10.4171/rmi/1078