负指数Emden-Fowler方程奇异边值问题的正解
Positive solutions of singular boundary value problem of negative exponent Emden--Fowler equation
摘要：
研究了一类类似于标准Emden-Fowler方程的具有负指数的奇异边值问题正解的存在性.利用上下解方法和Schauder不动点定理，给出了$C[0,1]$正解和$C^{1}[0,1]$正解存在的充要条件.
英文摘要：
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 $C^{1}[0,1]$ positive solutions is given by means of the method of lower and upper solutions with the Schauder fixed point theorem.
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