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Shadows of infinities

Annali di Matematica Pura ed Applicata (2016) 195(4) 1185-1206
DOI: 10.1007/s10231-015-0511-1
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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+np-0 or not summable to the power p- 2 + 0.

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Kuusi, T., Lindqvist, P., & Parviainen, M. (2016). Shadows of infinities. Annali Di Matematica Pura Ed Applicata, 195(4), 1185–1206. https://doi.org/10.1007/s10231-015-0511-1

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