Coclite, Giuseppe MariaCoclite, Mario2021-07-202021-07-202006-09-08Coclite, G. M., & Coclite, M. M. (2006). Elliptic perturbations for Hammerstein equations with singular nonlinear term. <i>Electronic Journal of Differential Equations, 2006</i>(104), pp. 1-23.1072-6691https://hdl.handle.net/10877/13977We 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.Text23 pages1 file (.pdf)enAttribution 4.0 InternationalHammerstein integral equationsExistence of positive solutionsSingular nonlinear boundary value problemsSingular elliptic perturbationsArticle