Abstract
<p style='text-indent:20px;'>In high-contrast composite materials, the electric field (or stress field) may blow up in the narrow region when a convex inclusion is closely to the boundary of the matrix domain. The gradient of solutions depends on the parameters–the distance between the inclusions and boundaries. An optimal upper bound was obtained for convex inclusions of arbitrary shape in dimension greater than two. Our results extend that in [<xref ref-type="bibr" rid="b3">3</xref>], where the disk inclusion case in 2D is considered.</p>
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