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arXiv · 1705.05518

Optimal boundary gradient estimates for Lamé systems with partially infinite coefficients

Jiguang Bao·Hongjie Ju·Haigang Li
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Abstract

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.

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Jiguang Bao, Hongjie Ju, Haigang Li. 2017-05-16. Optimal boundary gradient estimates for Lamé systems with partially infinite coefficients. https://arxiv.org/abs/1705.05518

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