Stress concentration for closely located inclusions in nonlinear perfect conductivity problems

Risultato della ricerca: Article

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 Ω⊂RN, N≥2. The governing equation may be degenerate of p-Laplace type, with 1<p≤N. We prove optimal L∞ estimates for the blow-up of the gradient of the solution as the distance between the inclusions tends to zero.
Lingua originaleEnglish
pagine (da-a)6149-6178
Numero di pagine30
RivistaJournal of Differential Equations
Volume266
Stato di pubblicazionePublished - 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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