M. Bocea et V. Radulescu, ELLIPTIC PROBLEMS WITH DISCONTINUOUS NONLINEARITY AND L-1 DATA, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 324(2), 1997, pp. 169-172
We define the notion of (very) weak solution for a class of semilinear
elliptic problems with discontinuous nonlinearity and L-1 data. We pr
ove the existence of such a solution by an approximation technique wit
h L-2 datas.