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.

A note on positive eigenfunctions and hidden convexity

Franzina G
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 also more general nonlinear eigenvalue problems. © 2012 Springer Basel.
2012
Istituto Applicazioni del Calcolo ''Mauro Picone''
Nonlinear eigenvalue problems
Uniqueness of eigenfunctions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/413892
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