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Variational Methods for p-Laplacian Sturm-Liouville Problems

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abstract
In this work we address the problem of eigencurves for the p-Laplacian operator on [0,1]. First we examine the simple case where p=2. Next, we prove the existence and several properties of the first eigencurve and its corresponding eigenfunction. In chapters 4 and 5, the nonhomogeneous case is considered. Chapter 4 proves the existence of solutions in the case below the first eigencurve. In Chapter 5 we prove the existence of solutions for the resonant case under two different Landesman-Lazer conditions.
subject
contributor
Meyer, Emily Elaine (author)
Robinson, Stephen B (committee chair)
Raynor, Sarah G (committee member)
Rivas, Mauricio A (committee member)
date
2016-05-21T08:35:49Z (accessioned)
2016-05-21T08:35:49Z (available)
2016 (issued)
degree
Mathematics (discipline)
identifier
http://hdl.handle.net/10339/59309 (uri)
language
en (iso)
publisher
Wake Forest University
title
Variational Methods for p-Laplacian Sturm-Liouville Problems
type
Thesis

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