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Stress concentration for closely located inclusions in nonlinear perfect conductivity problems

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 نشر من قبل Giulio Ciraolo
 تاريخ النشر 2018
  مجال البحث
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We study the stress concentration, which is the gradient of the solution, when two smooth inclusions are closely located in a possibly anisotropic medium. The governing equation may be degenerate of $p-$Laplace type, with $1<p leq N$. We prove optimal $L^infty$ estimates for the blow-up of the gradient of the solution as the distance between the inclusions tends to zero.

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