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
收藏
页码：6149 / 6178
页数：30
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