Existence of solutions for quasilinear elliptic boundary value problem in the presence of point sources

The existence of solutions of a quasilinear elliptic boundary value problem in the presence of point sources is investigated. We use an additive selection of the singularity of the right side. Solution of nonlinear problem is sought as the sum of known solution of a linear problem (associated with the original one) with point sources in the right side and the unknown additive term.