Published Paper
AI statement: 🟢 AI-Free: no AI used.
Inserted: 6 jun 2012
Last Updated: 11 nov 2026
Journal: Arch. Math.
Pages: 7
Year: 2012
Abstract:
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
Download: