On the Eigenvalue problem involving the Robin p (x)-Lap1acian
Date
2019-08
Authors
Lubega, Mohammad
Karuhanga, Martin
Journal Title
Journal ISSN
Volume Title
Publisher
Strathmore University
Abstract
A nonlinear eigenvalue problem with Robin boundary conditions on a bounded domain is
investigated. The existence of a sequence of non-negative eigenvalues is established using the
Ljusternik-Shnirelmann principle. Using the variational principle, we also prove that there
exists a principal eigenvalue which is the smallest of all the eigenvalues and that the set of
eigenvalues is not closed.
Description
Paper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenya
Keywords
Eigenvalues, p(x)-Laplacian, Ljusternik-Shnirelmann principle, principle