Basis properties of eigenfunctions of the 𝑝-Laplacian

Binding, Paul; Boulton, Lyonell; Čepička, Jan; Drábek, Pavel; Girg, Petr

doi:10.1090/S0002-9939-06-08001-4

Basis properties of eigenfunctions of the $p$-Laplacian
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by Paul Binding, Lyonell Boulton, Jan Čepička, Pavel Drábek and Petr Girg PDF

Proc. Amer. Math. Soc. 134 (2006), 3487-3494 Request permission

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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