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.File in questo prodotto:
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