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.

Elliptic Perturbations for Hammerstein Equations with Singular Nonlinear Term / Coclite, Giuseppe Maria; Coclite, M. M.. - In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1072-6691. - 2006:104(2006), pp. 1-23.

Elliptic Perturbations for Hammerstein Equations with Singular Nonlinear Term

COCLITE, Giuseppe Maria;
2006-01-01

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.
2006
Elliptic Perturbations for Hammerstein Equations with Singular Nonlinear Term / Coclite, Giuseppe Maria; Coclite, M. M.. - In: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 1072-6691. - 2006:104(2006), pp. 1-23.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/93846
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