Positive solutions for nonlinear problems involving the one-dimensional ϕ-Laplacian

Existence of Positive Solutions to Singular Boundary Value Problems Involving φ-Laplacian

“…For more general ϕ which does not satisfy (A), in Reference [20], when c ≡ d ≡ 1 and 0 ≤ h ∈ L 1 (0, 1) with h ≡ 0, it was shown that (1) has a positive solution u λ for all λ > 0 satisfying lim 1] under some assumptions on f which induces the sublinear nonlinearity if ϕ(s) = |s| p−1 s with p > 1. For other interesting results, we refer the reader to References [21][22][23] and the references therein.…”

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

“…For more general ϕ which does not satisfy (F 1 ), Kaufmann and Milne [40] studied the following problem…”

Existence and Multiplicity Results for Nonlocal Boundary Value Problems with Strong Singularity

“…For more general ϕ which does not satisfy (A1), Kaufmann and Milne [21] considered BVP (1) and ( 2) with α1 = α2 = 0, 0 ≤ h ∈ L 1 (0, 1) with h ≡ 0 and f = f (u) ∈ C(R + , R + ) and showed the existence of a positive solution for all λ > 0 under the assumptions on the nonlinearity f which induce the sublinear nonlinearity provided ϕ(s) = |s| p−1 s with p > 1. Recently, for an odd increasing homeomorphism ϕ satisfying (A1), Kim and Jeong [4] studied various existence results for positive solutions to BVP (1) and ( 2) with λ = 1.…”