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

Yuxia Wang·Xiyu Liu
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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 $C^{1}[0,1]$ positive solutions is given by means of the method of lower and upper solutions with the Schauder fixed point theorem.

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Yuxia Wang, Xiyu Liu. 2003-10-18. Positive solutions of singular boundary value problem of negative exponent Emden--Fowler equation. https://arxiv.org/abs/math/0310294

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