Existence of Positive Solutions to Singular <i>φ</i>-Laplacian Nonlocal Boundary Value Problems when <i>φ</i> is a Sup-multiplicative-like Function

Abstract

In this paper, using a fixed point index theorem on a cone, we present some existence results for one or multiple positive solutions to φ -Laplacian nonlocal boundary value problems when φ is a sup-multiplicative-like function and the nonlinearity may not satisfy the L 1 -Carath e ´ odory condition.

Keywords

• multiplicity of positive solutions
• sup-multiplicative-like function
• singular problem
• nonlocal boundary conditions