Asymptotic behavior of positive solution in an annulus

This paper concerns the positive solutions of superlinear elliptic equation with Hardy potential:{−Δu+μ|x|2u=|u|p−2uin Ω,u>0in Ω,u=0on ∂Ω, where Ω is an annulus of RN, N⩾2. We obtain qualitative properties of solutions as p→+∞.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2014-09, Vol.417 (1), p.469-480
Main Author: Guo, Zuji
Format: Article
Language:English
Subjects:
Hardy potential
Qualitative properties of solutions
Radial solutions
Supercritical index
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Summary:This paper concerns the positive solutions of superlinear elliptic equation with Hardy potential:{−Δu+μ|x|2u=|u|p−2uin Ω,u>0in Ω,u=0on ∂Ω, where Ω is an annulus of RN, N⩾2. We obtain qualitative properties of solutions as p→+∞.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2014.03.043