Existence of positive solutions for singular eigenvalue problems

Abstract

In this paper, we discuss the existence, nonexistence, and multiplicity of positive solutions for a class of singular eigenvalue problems. Some of our theorems are new, while others extend earlier results obtained by Zhang and Kong [12]. The interesting point is that the authors obtain the relation between the existence of solutions and the parameter $lambda$. The arguments are based on the fixed point index theory and the upper and lower solutions method.

Keywords

• Positive solution
• nonexistence
• existence
• complete continuity
• singularity.