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Gradient estimates for solutions of the Lamé system with partially infinite coefficients

arXiv:1311.1278 · doi:10.1007/s00205-014-0779-0

Abstract

We establish upper bounds on the blow up rate of the gradients of solutions of the Lamé system with partially infinite coefficients in dimension two as the distance between the surfaces of discontinuity of the coefficients of the system tends to zero.

42 pages. The title is changed slightly, and some Korn inequalities are recalled for readers' convenience. to appear in Arch. Ration. Mech. Anal