Existence, Nonexistence and Multiplicity of Positive Solutions for Singular Boundary Value Problems Involving <i>φ</i>-Laplacian

Abstract

In this paper, we establish the results on the existence, nonexistence and multiplicity of positive solutions to singular boundary value problems involving φ -Laplacian. Our approach is based on the fixed point index theory. The interesting point is that a result for the existence of three positive solutions is given.

Keywords

• three positive solutions
• <i>φ</i>-laplacian
• singular problem