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

Paul Binding; Patrick J. Browne

doi:10.1017/S001309150600157X

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

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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 angle p-Laplacian nonlinear variational principles

Type: Research Article
Information: Proceedings of the Edinburgh Mathematical Society , Volume 51 , Issue 3 , October 2008 , pp. 565 - 579

DOI: https://doi.org/10.1017/S001309150600157X [Opens in a new window]

Article contents

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

Abstract

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