Three things you can try...
- Using Windows Explorer navigate to C:\Program Files (x86)\Adobe\Reader 11.0\Reader, then double-click on Eula.exe and accept the license agreement
- Can you open Adobe Reader by itself? If so, try disabling Protected Mode [Edit | Preferences | Security (Enhanced)].
- It could even be a malware issue; see http://helpx.adobe.com/acrobat/kb/reader-core-dll-error.html
If you want to go back to Reader X, uninstall XI, then download and install version 10 from http://get.adobe.com/reader/enterprise/