Existence of Positive Solutions to Singular Boundary Value Problems Involving <i>φ</i>-Laplacian

Abstract

This paper is concerned with the existence of positive solutions to singular Dirichlet boundary value problems involving φ -Laplacian. For non-negative nonlinearity f = f ( t , s ) satisfying f ( t , 0 ) ≢ 0 , the existence of an unbounded solution component is shown. By investigating the shape of the component depending on the behavior of f at ∞ , the existence, nonexistence and multiplicity of positive solutions are studied.

Keywords

• <i>φ</i>-Laplacian
• multiplicity of positive solutions
• annular domain