Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4610536 | Journal of Differential Equations | 2013 | 23 Pages |
Abstract
We study the behavior of positive solutions of p-Laplacian type elliptic equations of the formQ′(u):=−Δp(u)+V|u|p−2u=0in Ω∖{ζ} near an isolated singular point ζ∈Ω∪{∞}ζ∈Ω∪{∞}, where 1
1d>1. We obtain removable singularity theorems for positive solutions near ζ. In particular, using a new three-spheres theorems for certain solutions of the above equation near ζ we prove that if V belongs to a certain Kato class near ζ and p>dp>d (respectively, p
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Martin Fraas, Yehuda Pinchover,