Stress concentration for closely located inclusions in nonlinear perfect conductivity problems |
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Authors: | Giulio Ciraolo Angela Sciammetta |
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Institution: | Dipartimento di Matematica e Informatica, Università di Palermo, Via Archirafi 34, 90123, Italy |
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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 . We prove optimal estimates for the blow-up of the gradient of the solution as the distance between the inclusions tends to zero. |
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Keywords: | 35J25 35B44 35B50 35J62 78A48 58J60 Gradient blow-up Perfect conductor |
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