Gradient regularity via rearrangements for $p$-Laplacian type elliptic boundary value problems

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Lipschitz Bounds and Nonautonomous Integrals (2020, background): “ollaries of the main results, but Theorem 3. This in fact requires some additional arguments to reach the = borderline case in the ﬁrst bound from (1.19), thereby reconnecting to the known literature [2,19,20] in the case f≡ 0. Section 11 contains applications to obstacle problems. Finally, Section ”
Pointwise Calderón–Zygmund gradient estimates for the p -Laplace system (2015, result): “ were preceded by parallel results for the solutions themselves obtained in [34]. Estimates in rearrangement invariant form for the gradient of solutions to boundary value problems are established in [4, 3, 17]. Besides the papers mentioned above, which are focused on pointwise results, in recent ye”