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

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