1. The problem statement, all variables and given/known data Construct a function u of the space H'(B), where B is a unit sphere in R^3, which does not belong to L∞(B). 2. Relevant equations (relevant facts) all L2 are hilbert, therefore the problem reduces for us finding an L2 function which is not L-infinity. 3. The attempt at a solution u=((1/(x+1))^(1/c))-1where c>2. please note that this is adjusted because our domain is limited to a unit sphere. the unadjusted equation looks like this: u=(1/x)^(1/c) where c>2. we don't even know if this is correct. spent 2 days thinking about the problem. any help in finding this function would be much appreciated. thank you!