We study the stress concentration, which is the gradient of the solution, when two smooth inclusions are closely located in a possibly anisotropic medium Omega subset of R-N, N >= 2. The governing equation may be degenerate of p-Laplace type, with 1 < p <= N. We prove optimal L-infinity estimates for the blow-up of the gradient of the solution as the distance between the inclusions tends to zero.
Stress concentration for closely located inclusions in nonlinear perfect conductivity problems / G. Ciraolo, A. Sciammetta. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 266:9(2019), pp. 6149-6178. [10.1016/j.jde.2018.10.041]
Stress concentration for closely located inclusions in nonlinear perfect conductivity problems
G. Ciraolo;
2019
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 Omega subset of R-N, N >= 2. The governing equation may be degenerate of p-Laplace type, with 1 < p <= N. We prove optimal L-infinity estimates for the blow-up of the gradient of the solution as the distance between the inclusions tends to zero.
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