Inserted: 6 jun 2012
Last Updated: 12 feb 2013
Journal: Arch. Math.
We give a simple convexity-based proof of the following fact: the only eigenfunction of the $p$−Laplacian that does not change sign is the first one. The method of proof covers as well more general nonlinear eigenvalue problems.
Keywords: Nonlinear eigenvalue problems, Uniqueness of eigenfunctions