Sturm--Liouville theory for the p-Laplacian-Reference-Cited by-同舟云学术

Sturm--Liouville theory for the p-Laplacian

Published:2003-10-01 Issue:4 Volume:40 Page:373-396
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:

Author:

Binding Paul¹,Drábek Pável²

Affiliation:

1. 1 Department of Mathematics and Statistics, University of Calgary Calgary AB, Canada T2N 1N4

2. 2 Centre of Applied Mathematics, University of West Bohemia Univerzitní 22, 306 14 Plzeň, Czech Republic

Abstract

A version of Sturm--Liouville theory is given for the one-dimensional p-Laplacian including the radial case. The treatment is modern but follows the strategy of Elbert's early work. Topics include a Prüfer-type transformation, eigenvalue existence, asymptotics and variational principles, and eigenfunction oscillation.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.40.2003.4.1

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