A note on positive eigenfunctions and hidden convexity

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 also more general nonlinear eigenvalue problems. © 2012 Springer Basel.
Anno
2012
Autori IAC
Tipo pubblicazione
Altri Autori
Brasco L.; Franzina G.
Editore
Birkhäuser
Rivista
Archiv der Mathematik (Print. ed.)