Publication date:
9 July 2017
Source:Advances in Mathematics, Volume 314
Author(s): Jiguang Bao, Hongjie Ju, Haigang Li
In this paper, we derive the pointwise upper bounds and lower bounds on the gradients of solutions to the Lamé systems with partially infinite coefficients as the surface of discontinuity of the coefficients of the system is located very close to the boundary. When the distance tends to zero, the optimal blow-up rates of the gradients are established for inclusions with arbitrary shapes and in all dimensions.