Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 104, pp. 1-23.

Title: Elliptic perturbations for Hammerstein equations
       with singular nonlinear term

Authors: Giuseppe Maria Coclite (Univ. di Bari, Italy)
         Mario Michele Coclite  (Univ. di Bari, Italy)

Abstract: 
  We consider a singular elliptic perturbation of a Hammerstein integral
  equation with singular nonlinear term at the origin. The compactness of
  the solutions to the perturbed problem and, hence, the existence of a
  positive solution for the integral equation are proved.
  Moreover, these results are applied to nonlinear singular
  homogeneous Dirichlet problems.
 
Submitted July 3, 2006. Published September 8, 2006.
Math Subject Classifications: 35B25, 45E99, 45G10, 45L99, 47H14.
Key Words: Hammerstein integral equations; existence of positive solutions;
           singular nonlinear boundary value problems;
           singular elliptic perturbations.