Stress concentration for closely located inclusions in nonlinear perfect conductivity problems

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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 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.
Original languageEnglish
Pages (from-to)6149-6178
Number of pages30
JournalJournal of Differential Equations
Volume266
Publication statusPublished - 2019

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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