I'm hoping for some help with the following question...
v satisfies vxx + vyy = 0 on the open domain Q bounded by the unit square, with v(o,y)= y(1-y) and v = 0 on the other three sides of the square.
Prove that, in the domain Q,
0 < v(x,y) < 1/4(1-x).
Any help would be much appreciated, my exam's in a couple of weeks and I'm stumped with this question!
Thanks in advance