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Basis Properties of Eigenfunctions of the p-Laplacian

Paul Binding, Lyonell Boulton, Jan Čepička, Pavel Drábek and Petr Girg
Proceedings of the American Mathematical Society
Vol. 134, No. 12 (Dec., 2006), pp. 3487-3494
Stable URL: http://www.jstor.org/stable/4098183
Page Count: 8
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Basis Properties of Eigenfunctions of the p-Laplacian
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Abstract

For $p \geqslant \frac{12}{11}$, the eigenfunctions of the non-linear eigenvalue problem for the p-Laplacian on the interval (0, 1) are shown to form a Riesz basis of $L_{2}(0, 1)$ and a Schauder basis of $L_{q}(0, 1)$ whenever $1 < q < \infty$.

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