Abstract
This provides a small selection of the enormous amount of information now available for the p–Laplacian. The existence of a solution of the Dirichlet problem is proved, together with a number of results concerning eigenvalues, including a version of the Courant nodal domain theorem.
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Edmunds, D.E., Evans, W.D. (2018). The \(p-\)Laplacian. In: Elliptic Differential Operators and Spectral Analysis. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-02125-2_9
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DOI: https://doi.org/10.1007/978-3-030-02125-2_9
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Publisher Name: Springer, Cham
Print ISBN: 978-3-030-02124-5
Online ISBN: 978-3-030-02125-2
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