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

java version "1.3.1"
Java(TM) 2 Runtime Environment, Standard Edition (build Blackdown-1.3.1-02b-FCS)
Java HotSpot(TM) Client VM (build Blackdown-1.3.1_02b-FCS, mixed mode)

I put where I downloaded my j2sdk1.3.1-02b-FCS:

/usr/lib/j2sdk1.3.1

into my PATH in my .bash_profile:

export JAVA_HOME=/usr/lib/j2sdk1.3.1
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/lib/j2sdk1.3.1/bin/.java_wrapper /usr/bin/java

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

./LimeWireLinux.bin

Installation works. Program installed, running, and functional.