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arXiv · 1809.08930

Stress concentration for closely located inclusions in nonlinear perfect conductivity problems

Giulio Ciraolo·Angela Sciammetta
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Abstract

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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Giulio Ciraolo, Angela Sciammetta. 2018-09-21. Stress concentration for closely located inclusions in nonlinear perfect conductivity problems. https://arxiv.org/abs/1809.08930

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