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Existence of sign-changing solutions for one-dimensional \(p\)-Laplacian problems with a singular indefinite weight. (English) Zbl 1222.47088

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.

MSC:

47J10 Nonlinear spectral theory, nonlinear eigenvalue problems
34B15 Nonlinear boundary value problems for ordinary differential equations
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