Positive solutions of singular boundary value problem of negative exponent Emden--Fowler equation

Abstract

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.

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