Item Details

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