Resumen de An elliptic semilinear equation with source term involving boundary measures: the subcritical case

Laurent Vivier, Marie-Francoise Bidaut-Véron

• We study the boundary behaviour of the nonnegative solutions of the semilinear elliptic equation in a bounded regular domain O of RN (N = 2), ì ?u + uq = 0, in O í î u = µ, on ?O where 1 < q < (N + 1)/(N - 1) and µ is a Radon measure on ?O. We give a priori estimates and existence results. The lie on the study of superharmonic functions in some weighted Marcinkiewicz spaces.