  The objective of this article is to study the boundary value problem for the
general semilinear elliptic equation of second order involving $L^1$ functions
or Radon measures with finite total variation. The study investigates the
existence and uniqueness of `{\it very weak}' solutions to the boundary value
problem for a given $L^1$ function. However, a `{\it very weak}' solution need
not exist when an $L^1$ function is replaced with a measure due to which the
corresponding reduced limits has been found for which the problem admits a
solution in a `{\it very weak}' sense.
