Thanks Calimero44, I have been all through these posts in this forum trying to figure out how to get the install to find the elusive VM machine it says can't find. And there have been a great many posts on how to edit your bash profile or which java commands but I am an ex-windows point and click user, NB to linux and I don't always understand these commands you folks talk about but when i see explicit examples such as yours it does help!! I had previously installed java 1.3.1_04 as a rpm package. And that went fine. I even found the location /usr/java/jre1.3.1_04 . But I know diddly about editing my bash_profile to create a link or whatever was needed to show LimeWireLinux.bin where the VM machine was. But your example was a great help for me.
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Type the following line and then you should be able to install LimeWire

export JAVA_HOME=/usr/java/j2re1.4.0
export PATH=$PATH:/usr/java/j2re1.4.0/bin

Now run ./LimewireLinux.bin
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I am running Mandrake 8.2 and have java 1.3.1_04 Installed so I entered a terminal window and cd into the directory where i downloaded LimeWireLinux.bin ,then modified your example to look like this...
export JAVA_HOME=/usr/java/jre1.3.1_04
export PATH=$PATH:/usr/java/jre1.3.1_04/bin
sh ./LimeWireLinux.bin

And finally success!

Brennan