Nehari manifold for weighted singular fractional \(p\)-Laplace equations (Q2091186)
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scientific article; zbMATH DE number 7610201
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nehari manifold for weighted singular fractional \(p\)-Laplace equations |
scientific article; zbMATH DE number 7610201 |
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Nehari manifold for weighted singular fractional \(p\)-Laplace equations (English)
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31 October 2022
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In this paper, the authors considered the weighted singular fractional \(p\)-Laplacian problems involving a bounded weight function. Firstly, some auxiliary results about the \(\psi\)-Riemann-Liouville fractional integral and \(\psi\)-Hilfer fractional derivatives were given. Based on the the technique of the Nehari manifold, the existence of two positive solutions for the addressed problems was presented. At the same time, some related propositions and theorems were obtained.
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\(\psi\)-fractional derivative space
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variational structure
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fractional \(p\)-Laplace operator
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existence of solutions
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Nehari manifold
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