Blow-up of solutions to a p-Laplace equation
Analysis of PDEs
2011-12-20 v1
Abstract
Consider two perfectly conducting spheres in a homogeneous medium where the current-electric field relation is the power law. Electric field blows up in the L-infinity norm as the distance between the conductors tends to zero. We give here a concise rigorous justification of the rate of this blow-up in terms of the distance between the conductors.
Cite
@article{arxiv.1112.3980,
title = {Blow-up of solutions to a p-Laplace equation},
author = {Yuliya Gorb and Alexei Novikov},
journal= {arXiv preprint arXiv:1112.3980},
year = {2011}
}