Summary
Gradient bounds are proved for solutions to a class of second order elliptic systems in divergence form. The main condition on this class is a generalization of the assumption that the system be the Euler-Lagrange system of equations for a functional depending only on the modulus of the gradient of the solution.
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Lieberman, G.M. Gradient estimates for a class of elliptic systems. Annali di Matematica pura ed applicata 164, 103–120 (1993). https://doi.org/10.1007/BF01759317
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DOI: https://doi.org/10.1007/BF01759317