Let be a nonempty bounded set in . The authors prove the existence of solutions to
where with a: is subject to certain coerciveness and monotonicity conditions and f is a bounded measure. This is done by first showing that (E) has a unique weak solution u in for f in and then obtaining estimates on u which depend only on , a and . Finally, f is approximated by a sequence in . Extension to the equation
and a parabolic analog of (E) is also given.