Elliptic perturbations for Hammerstein equations with singular nonlinear term
Date
2006-09-08
Authors
Coclite, Giuseppe Maria
Coclite, Mario
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
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.
Description
Keywords
Hammerstein integral equations, Existence of positive solutions, Singular nonlinear boundary value problems, Singular elliptic perturbations
Citation
Coclite, 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.
Rights
Attribution 4.0 International