Geodesic
Elliptic perturbations for Hammerstein equations with singular nonlinear term
Electronic journal of differential equations, Tome 2006 (2006)
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.
Classification : 35B25, 45E99, 45G10, 45L99, 47H14
Keywords: Hammerstein integral equations, existence of positive solutions, singular nonlinear boundary value problems, singular elliptic perturbations 
@article{EJDE_2006__2006__a115,
     author = {Coclite,  Giuseppe Maria and Coclite,  Mario Michele},
     title = {Elliptic perturbations for {Hammerstein} equations with singular nonlinear term},
     journal = {Electronic journal of differential equations},
     year = {2006},
     volume = {2006},
     zbl = {1112.35013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a115/}
}
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%A Coclite,  Mario Michele
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Coclite,  Giuseppe Maria; Coclite,  Mario Michele. Elliptic perturbations for Hammerstein equations with singular nonlinear term. Electronic journal of differential equations, Tome 2006 (2006). http://geodesic.mathdoc.fr/item/EJDE_2006__2006__a115/