We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain of ,
, where and is a Radon measure on . We give a priori estimates and existence results. They lie on the study of the superharmonic functions in some weighted Marcinkiewicz spaces.
Cite this article
Marie-Françoise Bidaut-Véron, Laurent Vivier, An elliptic semilinear equation with source term involving boundary measures: the subcritical case. Rev. Mat. Iberoam. 16 (2000), no. 3, pp. 477–513DOI 10.4171/RMI/281