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In this paper, we derive the pointwise upper bounds and lower bounds on thegradients of solutions to the Lam\'{e} systems with partially infinitecoefficients as the surface of discontinuity of the coefficients of the systemis located very close to the boundary. When the distance tends to zero, theoptimal blow-up rates of the gradients are established for inclusions witharbitrary shapes and in all dimensions.

Optimal boundary gradient estimates for Lam\'{e} systems with partially infinite coefficients