Blow-up of solutions to a p-Laplace equation

Mathematics – Analysis of PDEs

Scientific paper

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Scientific paper

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.

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