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Generalized Prüfer Angle and Variational Methods for p-Laplacian Eigenvalue Problems on the Half-Line

Published online by Cambridge University Press:  12 December 2008

Paul Binding  and
Patrick J. Browne
Paul Binding
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta T2N 1N4, Canada ([email protected])
Patrick J. Browne
Affiliation:
Department of Mathematics and Statistics, University of Saskatchewan, Saskatoon, Saskatchewan S7N 5E6, Canada
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Abstract

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The nonlinear eigenvalue problem

for 0 ≤ x < ∞, fixed p ∈ (1, ∞), and with y′(0)/y(0) specified, is studied under conditions on q related to those of Brinck and Molanov. Topics include Sturmian results, connections between problems on finite intervals and the half-line, and variational principles.

Keywords

Prüfer anglep-Laplaciannonlinear variational principles
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 51 , Issue 3 , October 2008 , pp. 565 - 579
Copyright
Copyright © Edinburgh Mathematical Society 2008