Variational Methods for p-Laplacian Sturm-Liouville Problems

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.

Grantor dc:publisher

Wake Forest University

Year dc:date.issued

2016

Author dc:creator

• Meyer, Emily Elaine

Language dc:language.iso

en

Handle dc:identifier.uri

http://hdl.handle.net/10339/59309

OAI identifier oai:identifier

oai:wakespace.lib.wfu.edu:10339/59309