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arXiv · 1406.6309

Shadows of infinities

Tuomo Kuusi·Peter Lindqvist·Mikko Parviainen
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Abstract

We study unbounded "supersolutions" of the Evolutionary $p$-Laplace equation with slow diffusion. They are the same functions as the viscosity supersolutions. A fascinating dichotomy prevails: either they are locally summable to the power $p-1+\tfrac{n}{p}-0$ or not summable to the power $p-2+0.$

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Tuomo Kuusi, Peter Lindqvist, Mikko Parviainen. 2014-10-02. Shadows of infinities. https://arxiv.org/abs/1406.6309

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