So , what's the solution ? I have the same problem ( I have an Imac G5 20" using 10.4.9 )

Console :

===== Dienstag, 24. April 2007 20:40 Uhr Europe/Berlin =====
Invalid memory access of location 00000000 eip=9a8227f1
Apr 24 20:40:41 Sharif /Applications/LimeWire/LimeWire.app/Contents/MacOS/LimeWire: An unexpected Java error has been detected by HotSpot Virtual Machine.
Apr 24 20:40:41 Sharif /Applications/LimeWire/LimeWire.app/Contents/MacOS/LimeWire: If this error is reproducible, please report it with the following information:
Apr 24 20:40:41 Sharif /Applications/LimeWire/LimeWire.app/Contents/MacOS/LimeWire: 1. Provide the steps to reproduce, a test case, and any relevant information
Apr 24 20:40:41 Sharif /Applications/LimeWire/LimeWire.app/Contents/MacOS/LimeWire: 2. The corresponding JavaNativeCrash_pid<num>.crash.log (Java state)
Apr 24 20:40:41 Sharif /Applications/LimeWire/LimeWire.app/Contents/MacOS/LimeWire: 3. The corresponding <name>.crash.log (native state; generated by CrashReporter)
Apr 24 20:40:41 Sharif /Applications/LimeWire/LimeWire.app/Contents/MacOS/LimeWire: 4. This data:
Apr 24 20:40:41 Sharif /Applications/LimeWire/LimeWire.app/Contents/MacOS/LimeWire: Java VM: Java HotSpot(TM) Client VM (1.5.0_07-87 mixed mode, sharing)
Apr 24 20:40:41 Sharif /Applications/LimeWire/LimeWire.app/Contents/MacOS/LimeWire: Bus Error (0xa) at pc=0x9a8227f1
Apr 24 20:40:41 Sharif /Applications/LimeWire/LimeWire.app/Contents/MacOS/LimeWire: Process ID: 505, Current Thread: 25177600
Apr 24 20:40:41 Sharif /Applications/LimeWire/LimeWire.app/Contents/MacOS/LimeWire: File report at: http://bugreport.apple.com/
Apr 24 20:40:41 Sharif /Applications/LimeWire/LimeWire.app/Contents/MacOS/LimeWire: An error report file has been written to:
Apr 24 20:40:41 Sharif /Applications/LimeWire/LimeWire.app/Contents/MacOS/LimeWire: /Users/Sharif/Library/Logs/Java/JavaNativeCrash_pid505.crash.log
Apr 24 20:40:42 Sharif crashdump[506]: LimeWire crashed
Apr 24 20:40:43 Sharif crashdump[506]: crash report written to: /Users/Sharif/Library/Logs/CrashReporter/LimeWire.crash.log