Yao, Qingliu Positive radial solution of a class of nonlinear Dirichlet boundary value problems. (Chinese. English summary) Zbl 1199.35115 Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 1, 48-56 (2009). Summary: By constructing a suitable cone and applying the fixed point theorem of cone expansion and compression type, the existence of a positive radial solution is studied for a class of singular elliptic Dirichlet boundary value problems, where the nonlinear term may be singular. Main results show that the existence of positive radial solution depends only upon the properties of the nonlinear term on a bounded subset of its domain, and the existence is independent of the properties of nonlinear term outside this set. Cited in 1 Document MSC: 35J65 Nonlinear boundary value problems for linear elliptic equations 34B15 Nonlinear boundary value problems for ordinary differential equations 34B09 Boundary eigenvalue problems for ordinary differential equations Keywords:nonlinear elliptic equation; Dirichlet boundary value problem; positive radial solution; existence PDFBibTeX XMLCite \textit{Q. Yao}, Acta Math. Sci., Ser. A, Chin. Ed. 29, No. 1, 48--56 (2009; Zbl 1199.35115)