Abstract and Applied Analysis

An elliptic problem with critical exponent and positive Hardy potential

Shaowei Chen and Shujie Li

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Abstract

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 xB1, μ>0, and the potential μ/|x|2λ is positive in B1.

Article information

Source
Abstr. Appl. Anal., Volume 2004, Number 2 (2004), 91-98.

Dates
First available in Project Euclid: 6 April 2004

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1081267501

Digital Object Identifier
doi:10.1155/S1085337504311036

Mathematical Reviews number (MathSciNet)
MR2058266

Zentralblatt MATH identifier
1129.35331

Subjects
Primary: 35J20: Variational methods for second-order elliptic equations 35J25

Citation

Chen, Shaowei; Li, Shujie. An elliptic problem with critical exponent and positive Hardy potential. Abstr. Appl. Anal. 2004 (2004), no. 2, 91--98. doi:10.1155/S1085337504311036. https://projecteuclid.org/euclid.aaa/1081267501


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