Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773893 | Journal of Differential Equations | 2017 | 14 Pages |
Abstract
In this paper, we consider the radial singular solution ofÎ2u=â1up,inRNwithu>0,p>0. By using some elementary ordinary differential equation arguments, we prove the above equation admits no radial singular solution for N=3,pâ¥3. In addition, the exact asymptotic behaviors of the radial singular solution as râ0 is established for p=1,Nâ¥4, which have a significant difference with the explicit singular solution. As a product, the singularity of any radial singular solution is of type II if p=1,Nâ¥4.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Baishun Lai,