Stress concentration for closely located inclusions in nonlinear perfect conductivity problems
Articolo
Data di Pubblicazione:
2019
Citazione:
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]
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.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Gradient blow-up; Finsler p-Laplacian; Perfect conductor
Elenco autori:
G. Ciraolo, A. Sciammetta
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