ASIC design ?
ASIC == Application Specfic IC..
Design issues ae more or less the same as for normal chip design. But in this case, it may be affected by the user's ( person who demands) budget like cost , power , area etc.. U try to desgin based on all the constraints. Wherever possible, u trade of (eg. if u have less area, then u have to compromise on parallelism , ie, less functional units) and stuff like tht. Good IC design book, is Baker and Boyce.. Its 2 volumes . also Neil Weste is a good book
hope this helps!!
abhi