Jin, Zhiren2020-11-232020-11-232003-04-29Jin, Z. (2003). Existence of positive solutions for Dirichlet problems of some singular elliptic equations. <i>Electronic Journal of Differential Equations, 2003</i>(49), pp. 1-16.1072-6691https://hdl.handle.net/10877/12989When an unbounded domain is inside a slab, existence of a positive solution is proved for the Dirichlet problem of a class of semilinear elliptic equations similar to the singular Emden-Fowler equation. The proof is based on a super and sub-solution method. A super solution is constructed by Perron's method together with a family of auxiliary functions.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalElliptic boundary value problemsPositive solutionsSingular semilinear equationsSingular semilinear equationsPerron's methodSuper solutionsArticle