Bifurcation of sign-changing solutions for one-dimensional image-Laplacian with a strong singular weight; image-sublinear at image Original Research Article

In this paper, we consider one-dimensional pp-Laplacian problems with a singular weight which may not be in L1L1. Using the properties of eigenfunctions and the global bifurcation theory, we prove existence, uniqueness, nonexistence and multiplicity results of positive solutions as well as sign-changing solutions specially when the nonlinear term is pp-linear near 0 and pp-sublinear at ∞∞.