English

Shadows of infinities

Analysis of PDEs 2014-10-03 v2

Abstract

We study unbounded "supersolutions" of the Evolutionary pp-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 p1+np0p-1+\tfrac{n}{p}-0 or not summable to the power p2+0.p-2+0.

Keywords

Cite

@article{arxiv.1406.6309,
  title  = {Shadows of infinities},
  author = {Tuomo Kuusi and Peter Lindqvist and Mikko Parviainen},
  journal= {arXiv preprint arXiv:1406.6309},
  year   = {2014}
}
R2 v1 2026-06-22T04:46:00.012Z