Coclite, Giuseppe Maria; Coclite, Mario Michele Positive solutions for an integro-differential equation with singular nonlinear term. (English) Zbl 1212.45013 Differ. Integral Equ. 18, No. 9, 1055-1080 (2005). Summary: The existence of a positive solution in a weighted Sobolev space for a homogeneous semilinear elliptic integro-differential Dirichlet problem is proved. The integral operator of the equation depends on a nonlinear function with a singularity at the origin. Cited in 3 Documents MSC: 45K05 Integro-partial differential equations 45M20 Positive solutions of integral equations 45G05 Singular nonlinear integral equations Keywords:positive solutions; semilinear elliptic integro-differential Dirichlet problem PDF BibTeX XML Cite \textit{G. M. Coclite} and \textit{M. M. Coclite}, Differ. Integral Equ. 18, No. 9, 1055--1080 (2005; Zbl 1212.45013) OpenURL