"Appropriate boundary conditions"...?

[sluthy]

I am stumped by a question in my Electromagnetism asignment that asks, after determining the potential (V) and electric field (E) of a hollow conductive sphere containing a point charge system, to "show that E and V satisfy the appropriate boundary conditions at the surfaces of the sphere." What does it mean by "boundary conditions"? What is the question asking me to prove/show?

[berkeman]

I believe they are referring to the perpendicular and parallel components of the electric field E at the conducting surface. E and B have particular properties at the surface of a conductor. Quiz question -- what are those properties?