Lee, Yong-Hoon; Sim, Inbo Existence of sign-changing solutions for one-dimensional \(p\)-Laplacian problems with a singular indefinite weight. (English) Zbl 1222.47088 Topol. Methods Nonlinear Anal. 36, No. 1, 61-90 (2010). The authors consider one-dimensional Dirichlet problems involving the \(p\)-Laplacian and a singular weight. They establish the existence of a sequence of eigenvalues and of sign-changing solutions for problems of this type. The results correspond to different classes of nonlinearities. Reviewer: Dumitru Motreanu (Perpignan) Cited in 1 Document MSC: 47J10 Nonlinear spectral theory, nonlinear eigenvalue problems 34B15 Nonlinear boundary value problems for ordinary differential equations Keywords:one-dimensional \(p\)-Laplacian; eigenvalue problem; sign-changing solutions; singular weight PDFBibTeX XMLCite \textit{Y.-H. Lee} and \textit{I. Sim}, Topol. Methods Nonlinear Anal. 36, No. 1, 61--90 (2010; Zbl 1222.47088)