Existence of sign-changing solutions for one-dimensional \(p\)-Laplacian problems with a singular indefinite weight (Q536507)
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scientific article; zbMATH DE number 5896992
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of sign-changing solutions for one-dimensional \(p\)-Laplacian problems with a singular indefinite weight |
scientific article; zbMATH DE number 5896992 |
Statements
Existence of sign-changing solutions for one-dimensional \(p\)-Laplacian problems with a singular indefinite weight (English)
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18 May 2011
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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.
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one-dimensional \(p\)-Laplacian
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eigenvalue problem
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sign-changing solutions
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singular weight
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