Linear Potentials in Nonlinear Potential Theory

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Nonlinear Measure Data Problems (2011, methodology): “The main fact is that, surprisingly, when switching to the gradient estimates, Wolff potentials can be actually avoided, and Riesz potentials suffice to implement pointwise bounds, as indeed shown in [67, 68]; compare with the optimality described in Remark 5.”
Pointwise Calderón–Zygmund gradient estimates for the p -Laplace system (2015, unknown): “Enhancements and extensions of these results, involving classical Riesz potentials instead of nonlinear potentials, are the object of a series of papers starting from [39, 38].”
The Wolff gradient bound for degenerate parabolic equations (2014, background): “This result has been upgraded to the gradient level in [37] for the case p = 2 and then in [12, 13] for p ≥ 2− 1/n (see also [26, 27] for relevant developments), where the following estimate is proved: |Du(x0)| ≤ c B(x0,r) (|Du| + s) dx + cWμ1/p,p(x0, 2r), (1.”
A nonlinear Stein theorem (2014, methodology): “In particular, in [18] we proved a scalar version of Theorem 1, but this result applies only to a single equation, and”