Does anyone know some good reference for this? For your convenience, here's the Wikipedia page on it, on which you can find the statement and the problem proposed: http://en.wikipedia.org/wiki/Bernstein%27s_problem
Specifically, I'm looking for:
A good solution on the case n=3, i.e the case that Bernstein proved that a graph of a real function on $R^2$ that is also a minimal surface in $R^3$ must be a plane.
Some additional information, e.g usage of the theorem, history etc.
(If possible) a proof why the statement is true in dimensions at most 8 but false in dimensions at least 9.
I've looked around online a decent amount of time and found a few papers, including ones by WY Hsiang and P Tomter, but was wondering if there were more than that written on the topic.
Thanks for any help!