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Solutions of Aronsson equation near isolated points

Analysis of PDEs 2008-11-27 v2

Abstract

We show that for non-negative solution of the Aronsson equation an isolated singularity is either removable, or the solution behaves asymptotically like a general cone. This generalizes the asymptotic behavior theory for infinity harmonic functions by Savin, Wang and Yu.

Keywords

Cite

@article{arxiv.0811.4063,
  title  = {Solutions of Aronsson equation near isolated points},
  author = {Vesa Julin},
  journal= {arXiv preprint arXiv:0811.4063},
  year   = {2008}
}

Comments

23 pages, 2 figures