Stress concentration for closely located inclusions in nonlinear perfect conductivity problems

被引：21

作者：

Ciraolo, Giulio ^{[1
]}

Sciammetta, Angela ^{[1
]}

机构：

[1] Univ Palermo, Dipartimento Matemat & Informat, Via Archirafi 34, I-90123 Palermo, Italy

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 266卷 / 09期

关键词：

Gradient blow-up; Finsler p-Laplacian; Perfect conductor; ELECTRIC-FIELDS; GRADIENT; SYSTEMS; REGULARITY; DEGENERATE; EQUATION;

D O I：

10.1016/j.jde.2018.10.041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：6149 / 6178

页数：30

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