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September/October 2019 Remarks on eigenfunction expansions for the p-Laplacian
Wei-Chuan Wang
Differential Integral Equations 32(9/10): 583-594 (September/October 2019).

Abstract

The one-dimensional $p$-Laplacian eigenvalue problem \begin{equation*} \begin{cases} -(|y'|^{p-2}y')'=(p-1)(\lambda -q(x))|y|^{p-2}y,\\ y(0)=y(1)=0, \end{cases} \end{equation*} is considered in this paper. We derive its normalized eigenfunction expansion by using a Prüfer-type substitution. Employing some theories in Banach spaces, we discuss the basis property related to these eigenfunctions as an application.

Citation

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Wei-Chuan Wang. "Remarks on eigenfunction expansions for the p-Laplacian." Differential Integral Equations 32 (9/10) 583 - 594, September/October 2019.

Information

Published: September/October 2019
First available in Project Euclid: 13 August 2019

zbMATH: 07144919
MathSciNet: MR3992038

Subjects:
Primary: 34L10, 34L20

Rights: Copyright © 2019 Khayyam Publishing, Inc.

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Vol.32 • No. 9/10 • September/October 2019
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