Positive Solutions of Singular Boundary Value Problem of Negative Exponent Emden–Fowler Equation

[摘要] This paper investigates the existence of positive solutions of a singular boundary value problem with negative exponent similar to standard Emden–Fowler equation. A necessary and sufficient condition for the existence of 𝐶[0, 1] positive solutions as well as 𝐶1[0, 1] positive solutions is given by means of the method of lower and upper solutions with the Schauder fixed point theorem.

[学科分类] 数学（综合）

[关键词] Singular boundary value problem;lower and upper solutions;positive solution.