2026-09-19T03:30:10Zhttps://wakespace.lib.wfu.edu/server/oai/request

oai:null:10339/593092026-09-16T09:22:01Zcom_10339_14934col_10339_38132

Meyer, Emily Elaine 2016-05-21T08:35:49Z 2016-05-21T08:35:49Z 2016 https://wakespace.lib.wfu.edu/handle/10339/59309 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. en Wake Forest University Variational Methods for p-Laplacian Sturm-Liouville Problems Thesis Robinson, Stephen B Raynor, Sarah G Rivas, Mauricio A Mathematics open.access