## Abstract and Applied Analysis

### On the extremal solutions of semilinear elliptic problems

Lamia Ben Chaabane

#### Abstract

We investigate here the properties of extremal solutions for semilinear elliptic equation $-\Delta u=\lambda f(u)$ posed on a bounded smooth domain of ${\mathbb R}^n$ with Dirichlet boundary condition and with $f$ exploding at a finite positive value $a$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2005, Number 1 (2005), 1-9.

Dates
First available in Project Euclid: 19 April 2005

https://projecteuclid.org/euclid.aaa/1113922219

Digital Object Identifier
doi:10.1155/AAA.2005.1

Mathematical Reviews number (MathSciNet)
MR2142152

Zentralblatt MATH identifier
1236.35054

#### Citation

Ben Chaabane, Lamia. On the extremal solutions of semilinear elliptic problems. Abstr. Appl. Anal. 2005 (2005), no. 1, 1--9. doi:10.1155/AAA.2005.1. https://projecteuclid.org/euclid.aaa/1113922219

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