## Abstract and Applied Analysis

### An elliptic problem with critical exponent and positive Hardy potential

#### Abstract

We give the existence result and the vanishing order of the solution in $0$ for the following equation: $-\triangle u(x)+(\mu/|x|^{2}) u(x) =\lambda u(x) +u^{2^{*}-1}(x)$, where $x \in B_{1}$, $\mu>0$, and the potential $\mu/{|x|^{2}}-\lambda$ is positive in $B_{1}$.

#### Article information

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

Dates
First available in Project Euclid: 6 April 2004

https://projecteuclid.org/euclid.aaa/1081267501

Digital Object Identifier
doi:10.1155/S1085337504311036

Mathematical Reviews number (MathSciNet)
MR2058266

Zentralblatt MATH identifier
1129.35331

#### 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