My early 2011 MBP has had one logic board replaced so far at my own expense a short while after AppleCare expired. This site has been compiling relevant information to those experiencing the same problem, and the #mbp2011 hashtag on Twitter is also a good resource for those affected: http://mbp2011.org/ https://twitter.com/search?q=%23mbp2011
Yes, this problem is widespread and unacknowledged by Apple. https://www.change.org/p/timothy-d-cook-replace-or-fix-all-2... It's ludicrous that to attempt to fix this problem, you would have to go so far as to bake your laptop. It cost me over $US 500 to get this fixed at an Apple Store.
When a friend was buying her mother a christmas present iPad, I went with her to examine which models handle the tablet workload better. We ended up picking an older generation, non-retina model. A few previous generation retina models, presumably running latest iOS updates, had ridiculously high temperatures just idling on the shelf.