I will take it to another level. I am using Mandrake 8.2 with Java blackdown version:

java version "1.3.1_04"
Java(TM) 2 Runtime Environment, Standard Edition (build Blackdown-1.3.1-04b-FCS)
Java HotSpot(TM) Client VM (build Blackdown-1.3.1_04b-FCS, mixed mode)

I put where I downloaded my j2sdk1.3.1-04b-FCS:

/usr/java/jdk1.3.1_04

into my PATH in my .bash_profile:

export JAVA_HOME=/usr/java/jdk1.3.1_04
export PATH=$JAVA_HOME/bin:$PATH

After doing that, I remove kaffe from my system but I have a dependency problem with my wizard packages. I do this command to keep that program around:

rpm -e kaffe --nodeps

This removes all instances of kaffe binaries from /usr/bin.

I next create soft links to the /usr/bin directory but blackdown has most of all of it's java commands (ie java, javac, etc) as symbolic links. Some people´s configuration will not allow that many symlinks.
the symlinks point to a "hidden" file called .java_wrapper. So I link this to my /usrbin directory like so:

ln -s /usr/java/jdk1.3.1_04/bin/.java_wrapper /usr/bin/java

After doing that, I execute the LImeWireLinux.bin installer:

./LimeWireLinux.bin

Installation works. Program installed, running, and functional. I discovered that I had to install the program as user instead of trying to set it systemwide as root.