## Positive solutions to singular boundary value problems for Emden-Fowler equations with negative exponent.(Chinese. English summary)Zbl 1027.34024

Summary: The author investigates the existence of positive solutions to singular boundary value problems for Emden-Fowler equations with negative exponent. 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 lower and upper solutions and fixed-point theorems.

### MSC:

 34B18 Positive solutions to nonlinear boundary value problems for ordinary differential equations 34B16 Singular nonlinear boundary value problems for ordinary differential equations