2 Loc Hoang Nguyen

F (u) = f(u(·)), u ∈ W 1,p 0 (Ω), where f is a continuous function defined on R and L = −∆p. The results obtained (see [33]) extend the papers [10, 22] in the sense that the Laplace opereator in these two papers can be replaced with its generalizations, the p−Laplace operator. Also, our results can be applied to singular elliptic equations. 2. Boundary value problems for singular elliptic equations. My second project studies (1.1) when L = −∆p and F is given by