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

Classical Analysis and ODEs 2007-05-23 v1

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]C[0,1] positive solutions as well as C1[0,1]C^{1}[0,1] positive solutions is given by means of the method of lower and upper solutions with the Schauder fixed point theorem.

Keywords

Cite

@article{arxiv.math/0310294,
  title  = {Positive solutions of singular boundary value problem of negative exponent Emden--Fowler equation},
  author = {Yuxia Wang and Xiyu Liu},
  journal= {arXiv preprint arXiv:math/0310294},
  year   = {2007}
}

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11 pages