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• W2971350682 abstract "The paper is concerned with higher order Calderón-Zygmund estimates for the p-Laplace equation−div(A(∇u)):=−div(|∇u|p−2∇u)=−divF,1<p<∞. We are able to transfer local interior Besov and Triebel-Lizorkin regularity up to first order derivatives from the force term F to the flux A(∇u). For p≥2 we show that F∈Bϱ,qs implies A(∇u)∈Bϱ,qs for any s∈(0,1) and all reasonable ϱ,q∈(0,∞] in the planar case. The result fails for p<2. In case of higher dimensions and systems we have a smallness restriction on s. The quasi-Banach case 0<min⁡{ϱ,q}<1 is included, since it has important applications in the adaptive finite element analysis. As an intermediate step we prove new linear decay estimates for p-harmonic functions in the plane for the full range 1<p<∞." @default.
• W2971350682 created "2019-09-05" @default.
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• W2971350682 date "2020-01-01" @default.
• W2971350682 modified "2023-09-26" @default.
• W2971350682 title "Higher order Calderón-Zygmund estimates for the p-Laplace equation" @default.
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• W2971350682 doi "https://doi.org/10.1016/j.jde.2019.08.009" @default.
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