Variational Methods for p-Laplacian Sturm-Liouville Problems
Electronic Theses and Dissertations
Item Files
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
- 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