Global Lipschitz Regularity for a Class of Quasilinear Elliptic Equations

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Symmetry results for critical anisotropic p-Laplacian equations in convex cones (2019, background): “36) is proved in [18, Section 3] in a local setting (see also [10], where the authors prove global Lipschitz regularity in convex domains for the case when H coincides with the Euclidean norm), the argument easily extends to our setting by an approximation argument.”
Linear Potentials in Nonlinear Potential Theory (2013, background): “6 strikingly extends the known results available in the literature where the condition μ ∈ L(n, 1) is found to be a sufficient one for gradient boundedness of solutions [4,12].”
Second-Order Two-Sided Estimates in Nonlinear Elliptic Problems (2017, background): “1) satisfies ellipticity and monotonicity conditions, not necessarily of power type [21,22].”
A nonlinear Stein theorem (2014, background): “γ(·) is a constant function) as derived in [3,6], but the known techniques do not apparently extend to treat the case when coefficients are involved, at least in the case they are not differentiable, as here.”