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

In this paper, using a fixed point index theorem on a cone, we present some existence results for one or multiple positive solutions to <inline-formula> <math display="inline"> <semantics> <mi>&#966;</mi> </semantics> </math> </inline-formula>-Laplacian nonlocal boundary value problems when <inline-formula> <math display="inline"> <semantics> <mi>&#966;</mi> </semantics> </math> </inline-formula> is a sup-multiplicative-like function and the nonlinearity may not satisfy the <inline-formula> <math display="inline"> <semantics> <msup> <mi>L</mi> <mn>1</mn> </msup> </semantics> </math> </inline-formula>-Carath<inline-formula> <math display="inline"> <semantics> <mover accent="true"> <mi mathvariant="normal">e</mi> <mo>&#180;</mo> </mover> </semantics> </math> </inline-formula>odory condition.

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