Title: Existence and regularity of positive solutions of quasilinear elliptic problems with singular semilinear term,
Abstract: This paper deals with existence and regularity of positive solutions of
singular elliptic problems on a smooth bounded domain with Dirichlet boundary
conditions involving the $\Phi$-Laplacian operator. The proof of existence is
based on a variant of the generalized Galerkin method that we developed
inspired on ideas by Browder and a comparison principle. By using a kind of
Moser iteration scheme we show $L^{\infty}(\Omega)$-regularity for positive
solutions