Let / = [0,1], Q = IxI and denote by Sf the <7-algebra of the Lebesgue measurable subsets of Q. Denote by 2" the family of all closed nonempty subsets of R" and by 08{R") the family of all Borel subsets of R". For xeR" and A, Be2" we denote by d(x, A) the usual point-to-set distance from x to A and by h(A, B) the Hausdorff pseudodistance from A to B. By C(Q,R") (resp. L}(Q,R)) we denote the Banach space of all continuous (resp. Bochner integrable) functions u:Q->R" with the norm ||u||00 = sup… CONTINUE READING