For some chief executives, fending off an unwanted takeover is a chance to declare victory. For Qualcomm Inc. CEO Steve Mollenkopf, the end of one fight has only left him facing several others.
Mr. Mollenkopf not only has to fix disputes with customers that predate Broadcom Ltd.’s hostile bid, he now also has to assuage shareholders unhappy with how Qualcomm handled the four-month takeover battle. On top of that, former Qualcomm Executive Chairman Paul Jacobs has embarked on his own takeover bid that, while a long shot, could...