Partial Regularity of the Minimizers of Quadratic Functionals with VMO Coefficients

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Regularity of Minimizers of some Variational Integrals with Discontinuity (2008, background): “In [17] the authors extend the results of [4] and [6] to the case that the functional is given by ∫”
Partial regularity of $p(x)$-harmonic maps (2011, background): “(About regularity results for standard growth problems with VMO-coefficients, see, for example, [7, 19, 18, 20].”
Existence Results for Double Phase Problem in Sobolev–Orlicz Spaces with Variable Exponents in Complete Manifold (2021, background): “About p(x)-growth problems, see [1, 2, 4, 5, 6, 7, 8, 9, 11, 12, 22] and the references given there.”
Gradient estimates for elliptic systems in non-smooth domains (2008, methodology): “Thus our present result and approach can be used to refine the results in [10,12,23, 25 ] for non-linear equations/systems.”