An elliptic problem with critical exponent and positive Hardy potential

We give the existence result and the vanishing order of the solution in 0 for the following equation: −Δu(x)+(μ/|x|2)u(x)=λu(x)+u2*−1(x), where x∈B1, μ>0, and the potential μ/|x|2−λ is positive in B1.

Bibliographic Details
Main Authors: Shaowei Chen, Shujie Li
Format: Article
Language:English
Published: Hindawi Limited 2004-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/S1085337504311036
Description
Summary:We give the existence result and the vanishing order of the solution in 0 for the following equation: −Δu(x)+(μ/|x|2)u(x)=λu(x)+u2*−1(x), where x∈B1, μ>0, and the potential μ/|x|2−λ is positive in B1.
ISSN:1085-3375
1687-0409