There IS a LW Mac section on the forums. 

I am guessing you have OSX. You haven't given any details which OS version you are using. 
(a) Try deleting your LW prefs folder whilst LW is CLOSED;  
Deleting LW Preferences folder in OSX 
(b) Also do a Safe Boot & repair permissions. Reboot normally. Then try opening LW. 
SAFE Boot & Repair Permissions 
(c) If still problems, see 
Can't launch LW: Bouncing in Dock (click on link) & also 
Major Topics for General OSX Help 
(d) If still problems then post back these details  
System details - help us to help you (click on blue link) including your type of mac computer (eg: ibook, imac, macpro, G4, etc).