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.
A note on positive eigenfuctions and hidden convexity
BRASCO, Lorenzo;
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.File in questo prodotto:
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