Higher differentiability for n-harmonic systems with Sobolev coefficients

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Higher differentiability for solutions to a class of obstacle problems (2018, background): “Indeed, in [24,40,41], the higher differentiability of the solutions to the equation in (1.”
Regularity results for vectorial minimizers of a class of degenerate convex integrals (2018, background): “[33], [42], [43] and, for other regularity results under a Sobolev type assumption with respect to the x-variable, see [18], [27], [28], [31]).”
Besov regularity for solutions of p-harmonic equations (2017, background): “In this direction, in [9, 19, 20], the higher differentiability of the function Vp(Du) is obtained from a pointwise condition on A that is equivalent to theW1,n regularity of the map x → A(x, ⋅ ).”
Fractional Differentiability for Solutions of Nonlinear Elliptic Equations (2016, background): “Indeed, recent developments for nonlinear equations suggest that linearity should not be a restriction, as appropriate counterparts hold even if A has superlinear growth, see for instance [7], [22] and [23].”